Pith Number

pith:2AWAEFKR

pith:2011:2AWAEFKR3TTEV52LP6SVJJFTGZ

not attested not anchored not stored refs pending

Convexity of strata in diagonal pants graphs of surfaces

Cyril Lecuire, Hugo Parlier, Javier Aramayona, Kenneth J. Shackleton

arxiv:1111.1187 v1 · 2011-11-04 · 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{2AWAEFKR3TTEV52LP6SVJJFTGZ}

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	2026-05-18T04:09:35.570540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02c021551dce64af74b7fa554a4b33666f13f1715088293cc5ffa7de30327d3

Aliases

arxiv: 1111.1187 · arxiv_version: 1111.1187v1 · doi: 10.48550/arxiv.1111.1187 · pith_short_12: 2AWAEFKR3TTE · pith_short_16: 2AWAEFKR3TTEV52L · pith_short_8: 2AWAEFKR

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/2AWAEFKR3TTEV52LP6SVJJFTGZ \
  | 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: d02c021551dce64af74b7fa554a4b33666f13f1715088293cc5ffa7de30327d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88f7c3bd7190dbd73b8c48972df3b1d44a0d83c7f0c5f4af923690cda9e282c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-04T17:11:11Z",
    "title_canon_sha256": "7f375b3744bd621ee87bdcf28574aa947223651cd705d20aaf762cf1f3290187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1187",
    "kind": "arxiv",
    "version": 1
  }
}