Pith Number

pith:HL5A4HTM

pith:2021:HL5A4HTMGQ3GXMZQM3KTAGVB6D

not attested not anchored not stored refs pending

Knot probabilities in equilateral random polygons

A. J. Taylor, A. Xiong, M. R. Dennis, S. G. Whittington

arxiv:2108.07197 v1 · 2021-08-16 · cond-mat.stat-mech · math-ph · math.GT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HL5A4HTMGQ3GXMZQM3KTAGVB6D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Distribution of magnetic helicity and energy with height in solar atmosphere

Receipt and verification

First computed	2026-07-05T04:14:38.447799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3afa0e1e6c34366bb33066d5301aa1f0c22bae939fbb2c87df687974982098cf

Aliases

arxiv: 2108.07197 · arxiv_version: 2108.07197v1 · doi: 10.48550/arxiv.2108.07197 · pith_short_12: HL5A4HTMGQ3G · pith_short_16: HL5A4HTMGQ3GXMZQ · pith_short_8: HL5A4HTM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HL5A4HTMGQ3GXMZQM3KTAGVB6D \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3afa0e1e6c34366bb33066d5301aa1f0c22bae939fbb2c87df687974982098cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4d59abc392c7143de629db9cf2a0298939c92aced2440f9c3433168a7915af",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-08-16T16:06:18Z",
    "title_canon_sha256": "65780446b7b6bda5a89430c170cdd41c8d9e91d8d468b3730d79273f2c178c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07197",
    "kind": "arxiv",
    "version": 1
  }
}