Pith Number

pith:J4NLMCFI

pith:2010:J4NLMCFICUCRM5NJT4FZTQP7UQ

not attested not anchored not stored refs pending

A measure for the chirality of triangles

Haifeng Ma, Thomas Greber

arxiv:1011.0020 v1 · 2010-10-29 · math-ph · 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{J4NLMCFICUCRM5NJT4FZTQP7UQ}

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	2026-05-18T04:37:30.738533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1ab608a815051675a99f0b99c1ffa439a463136a9613a4915375d898201a19

Aliases

arxiv: 1011.0020 · arxiv_version: 1011.0020v1 · doi: 10.48550/arxiv.1011.0020 · pith_short_12: J4NLMCFICUCR · pith_short_16: J4NLMCFICUCRM5NJ · pith_short_8: J4NLMCFI

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/J4NLMCFICUCRM5NJT4FZTQP7UQ \
  | 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: 4f1ab608a815051675a99f0b99c1ffa439a463136a9613a4915375d898201a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d194dbc3757747f0880a51cb3ce82a25e19d23785b267ca7d83f3a74f1593c8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-29T21:24:40Z",
    "title_canon_sha256": "12685e704d80341f6fd39c99f104710f7ef4faa80ece3d6c98530375a0b41b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0020",
    "kind": "arxiv",
    "version": 1
  }
}