Pith Number

pith:UZ6VM74H

pith:2016:UZ6VM74H3SYUDCRABC26GWSK7C

not attested not anchored not stored refs pending

Counting curves, and the stable length of currents

Hugo Parlier, Juan Souto, Viveka Erlandsson

arxiv:1612.05980 v1 · 2016-12-18 · math.GT · math.DG · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZ6VM74H3SYUDCRABC26GWSK7C}

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	2026-05-18T00:54:10.293244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67d567f87dcb1418a2008b5e35a4af8840cbe0577955e92d4d023ad967ed537

Aliases

arxiv: 1612.05980 · arxiv_version: 1612.05980v1 · doi: 10.48550/arxiv.1612.05980 · pith_short_12: UZ6VM74H3SYU · pith_short_16: UZ6VM74H3SYUDCRA · pith_short_8: UZ6VM74H

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/UZ6VM74H3SYUDCRABC26GWSK7C \
  | 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: a67d567f87dcb1418a2008b5e35a4af8840cbe0577955e92d4d023ad967ed537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "227780fa1fb675bdde5a0f7d21e57404344c19d7100a83aa4f02c5427aee3351",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-18T19:54:06Z",
    "title_canon_sha256": "9757f9db75d6fb2c0656bd4e2afc703641012c76ad5651c75b65b2ace921d426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05980",
    "kind": "arxiv",
    "version": 1
  }
}