Pith Number

pith:SASYGY7E

pith:2022:SASYGY7EGOUSJ2PMMEK3YKNZTR

not attested not anchored not stored refs pending

Relatively hyperbolic metric bundles and Cannon-Thurston map

Swathi Krishna

arxiv:2204.01073 v1 · 2022-04-03 · 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{SASYGY7EGOUSJ2PMMEK3YKNZTR}

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	2026-07-05T04:11:15.081147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90258363e433a924e9ec6115bc29b99c58c17b799f5231675ea09edaf7f276c3

Aliases

arxiv: 2204.01073 · arxiv_version: 2204.01073v1 · doi: 10.48550/arxiv.2204.01073 · pith_short_12: SASYGY7EGOUS · pith_short_16: SASYGY7EGOUSJ2PM · pith_short_8: SASYGY7E

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/SASYGY7EGOUSJ2PMMEK3YKNZTR \
  | 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: 90258363e433a924e9ec6115bc29b99c58c17b799f5231675ea09edaf7f276c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b2af9f1246719b5441ee55b2f51aa16b03aaa5dec00ac66558e3a9ba13ad52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-04-03T13:46:17Z",
    "title_canon_sha256": "45228c465a8a268fcbc11306de35e22b304edeee08719eb3303a4a758f579209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01073",
    "kind": "arxiv",
    "version": 1
  }
}