Pith Number

pith:2QWFGXUZ

pith:2013:2QWFGXUZFVRJZFVNJDJB3NRPXF

not attested not anchored not stored refs pending

Higher dimensional divergence for mapping class groups

Cornelia Drutu, Jason Behrstock

arxiv:1305.2994 v4 · 2013-05-14 · 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{2QWFGXUZFVRJZFVNJDJB3NRPXF}

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	2026-05-18T01:37:21.835297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42c535e992d629c96ad48d21db62fb943d7b2454f76df6edc587b8df5611dce

Aliases

arxiv: 1305.2994 · arxiv_version: 1305.2994v4 · doi: 10.48550/arxiv.1305.2994 · pith_short_12: 2QWFGXUZFVRJ · pith_short_16: 2QWFGXUZFVRJZFVN · pith_short_8: 2QWFGXUZ

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/2QWFGXUZFVRJZFVNJDJB3NRPXF \
  | 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: d42c535e992d629c96ad48d21db62fb943d7b2454f76df6edc587b8df5611dce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8556de9e5f4ebbf4c7f3e79028ade33e3e0876f5eec46218b7c6f4707c7d689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-14T01:45:21Z",
    "title_canon_sha256": "090e5baf28adbbdc38bff8840bca52fd5ff2a5c311049311cece12cfae12e673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2994",
    "kind": "arxiv",
    "version": 4
  }
}