Pith Number

pith:2VKI2DKX

pith:2013:2VKI2DKXFWXWRZP3JQHHS33MYM

not attested not anchored not stored refs pending

Products of Farey graphs are totally geodesic in the pants graph

Alexander Zupan, Samuel J. Taylor

arxiv:1307.7268 v2 · 2013-07-27 · 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{2VKI2DKXFWXWRZP3JQHHS33MYM}

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	2026-05-18T02:49:54.046168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5548d0d572daf68e5fb4c0e796f6cc30f2268768cfd15b2642184bd04f2ecb7

Aliases

arxiv: 1307.7268 · arxiv_version: 1307.7268v2 · doi: 10.48550/arxiv.1307.7268 · pith_short_12: 2VKI2DKXFWXW · pith_short_16: 2VKI2DKXFWXWRZP3 · pith_short_8: 2VKI2DKX

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/2VKI2DKXFWXWRZP3JQHHS33MYM \
  | 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: d5548d0d572daf68e5fb4c0e796f6cc30f2268768cfd15b2642184bd04f2ecb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6eaada31cb490b640b07cd594767e57521921cf5e373cd3e18ddac53af78cba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-27T14:47:18Z",
    "title_canon_sha256": "9fde2772b996f94ba31bf57967e3dd9a6786158e9ee4dd6d18d992bf1a7dd781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7268",
    "kind": "arxiv",
    "version": 2
  }
}