Pith Number

pith:GB26OMBM

pith:2016:GB26OMBMCG4AOIXHR7SL7IQXUX

not attested not anchored not stored refs pending

On the early history of moduli and Teichm{\"u}ller spaces

Athanase Papadopoulos (IRMA), Lizhen Ji, Norbert A'Campo

arxiv:1602.07208 v1 · 2016-02-23 · math.HO · math.CV · 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{GB26OMBMCG4AOIXHR7SL7IQXUX}

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	2026-05-18T01:20:06.940417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3075e7302c11b80722e78fe4bfa217a5c15e46da896bfaddd2819bdea4badc4e

Aliases

arxiv: 1602.07208 · arxiv_version: 1602.07208v1 · doi: 10.48550/arxiv.1602.07208 · pith_short_12: GB26OMBMCG4A · pith_short_16: GB26OMBMCG4AOIXH · pith_short_8: GB26OMBM

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/GB26OMBMCG4AOIXHR7SL7IQXUX \
  | 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: 3075e7302c11b80722e78fe4bfa217a5c15e46da896bfaddd2819bdea4badc4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb550e85ae44f61b031d51df4c9ec4951f60f740fb6747c193f3d708339dac9e",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-02-23T15:43:59Z",
    "title_canon_sha256": "e0bd74e78de20a08fb68e03a543aeaacd8714117cbc5e4b234ec45d51659d1f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07208",
    "kind": "arxiv",
    "version": 1
  }
}