Pith Number

pith:2NIC2HSO

pith:2015:2NIC2HSORA3RGETRE52J2GOQUX

not attested not anchored not stored refs pending

Winding and Unwinding and Essential Intersections in $\mathbb{H}^3$

Jane Gilman, Linda Keen

arxiv:1510.05039 v2 · 2015-10-16 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NIC2HSORA3RGETRE52J2GOQUX}

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.

Receipt and verification

First computed	2026-05-18T01:11:21.693952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3502d1e4e883713127127749d19d0a5d0f75725d92f0898522a52d57ae00417

Aliases

arxiv: 1510.05039 · arxiv_version: 1510.05039v2 · doi: 10.48550/arxiv.1510.05039 · pith_short_12: 2NIC2HSORA3R · pith_short_16: 2NIC2HSORA3RGETR · pith_short_8: 2NIC2HSO

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/2NIC2HSORA3RGETRE52J2GOQUX \
  | 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: d3502d1e4e883713127127749d19d0a5d0f75725d92f0898522a52d57ae00417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0deced60c82b2a7cc072002141e3bb857bdb5439af912171b1fb498cb1b617",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-16T22:32:22Z",
    "title_canon_sha256": "5995b1c573717b3a8f73f51fd39a7d96d576329ae25c2d9b154f37c7b46648b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05039",
    "kind": "arxiv",
    "version": 2
  }
}