Pith Number

pith:2OPSVDRG

pith:2015:2OPSVDRGFUQFGERG6LUN72JGNR

not attested not anchored not stored refs pending

The Teichm\"uller space of the Hirsch foliation

Pablo Lessa, S\'ebastien Alvarez

arxiv:1507.01531 v1 · 2015-07-06 · math.GT · math.DG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OPSVDRGFUQFGERG6LUN72JGNR}

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	2026-05-18T01:37:16.676204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39f2a8e262d20531226f2e8dfe9266c5790f3442a8655adde2f5af50aca6bc7

Aliases

arxiv: 1507.01531 · arxiv_version: 1507.01531v1 · doi: 10.48550/arxiv.1507.01531 · pith_short_12: 2OPSVDRGFUQF · pith_short_16: 2OPSVDRGFUQFGERG · pith_short_8: 2OPSVDRG

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/2OPSVDRGFUQFGERG6LUN72JGNR \
  | 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: d39f2a8e262d20531226f2e8dfe9266c5790f3442a8655adde2f5af50aca6bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a34f9027f286478aeaf19546f62ac66bb76fd95b9e5ed1240125a30242afca",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-06T16:37:30Z",
    "title_canon_sha256": "12dadfc3f6066add907b0de18d9464518b7f14bfac5139577b4835f059dcba8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01531",
    "kind": "arxiv",
    "version": 1
  }
}