Pith Number

pith:2OH2E74W

pith:2015:2OH2E74WHLJVATMRLHDSDQVD2R

not attested not anchored not stored refs pending

Deforming hyperbolic hexagons with applications to the arc and the Thurston metrics on Teichm{\"u}ller spaces

Athanase Papadopoulos (IRMA), Sumio Yamada

arxiv:1512.02776 v3 · 2015-12-09 · 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{2OH2E74WHLJVATMRLHDSDQVD2R}

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	2026-05-18T00:52:17.616311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d38fa27f963ad3504d9159c721c2a3d47c5c4844cfa074a66674a548ddfafdeb

Aliases

arxiv: 1512.02776 · arxiv_version: 1512.02776v3 · doi: 10.48550/arxiv.1512.02776 · pith_short_12: 2OH2E74WHLJV · pith_short_16: 2OH2E74WHLJVATMR · pith_short_8: 2OH2E74W

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/2OH2E74WHLJVATMRLHDSDQVD2R \
  | 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: d38fa27f963ad3504d9159c721c2a3d47c5c4844cfa074a66674a548ddfafdeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6f6d1fa506790697cd4ab0d0a93222dafd81736a95d998c3da41f67b499cb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-09T07:46:33Z",
    "title_canon_sha256": "7941a897e89171f76b30a5a54e0dc48c151791cffb02f09f95df116a1ec87ca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02776",
    "kind": "arxiv",
    "version": 3
  }
}