Pith Number

pith:WTKNSNH4

pith:2012:WTKNSNH4I77HTEILYDDYXFFF3J

not attested not anchored not stored refs pending

A commentary on Teichm\"uller's paper "Ver\"anderliche Riemannsche Fl\"achen" (Variable Riemann Surfaces)

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

arxiv:1209.1882 v1 · 2012-09-10 · 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{WTKNSNH4I77HTEILYDDYXFFF3J}

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	2026-05-18T03:45:20.765691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d4d934fc47fe79910bc0c78b94a5da636f743c1e1ae2ff12e10ae5a602705b

Aliases

arxiv: 1209.1882 · arxiv_version: 1209.1882v1 · doi: 10.48550/arxiv.1209.1882 · pith_short_12: WTKNSNH4I77H · pith_short_16: WTKNSNH4I77HTEIL · pith_short_8: WTKNSNH4

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/WTKNSNH4I77HTEILYDDYXFFF3J \
  | 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: b4d4d934fc47fe79910bc0c78b94a5da636f743c1e1ae2ff12e10ae5a602705b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b19a671b653e010f9acdacee436d954a562f3cbee47f26ed8677430f03509d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-10T06:30:56Z",
    "title_canon_sha256": "b1d78927b50f0d7f45fcb244dbca3bad1dc4194b7e076aac996d556644c29cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1882",
    "kind": "arxiv",
    "version": 1
  }
}