Pith Number

pith:B6QOY2ZQ

pith:2012:B6QOY2ZQVZVULWCJSXXQ7XJ62B

not attested not anchored not stored refs pending

Ahlfors circle maps and total reality: from Riemann to Rohlin

Alexandre Gabard

arxiv:1211.3680 v2 · 2012-11-15 · 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{B6QOY2ZQVZVULWCJSXXQ7XJ62B}

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	2026-05-18T03:27:54.345166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa0ec6b30ae6b45d84995ef0fdd3ed06054eb42d0f49eb3e7626cba11ef94e5

Aliases

arxiv: 1211.3680 · arxiv_version: 1211.3680v2 · doi: 10.48550/arxiv.1211.3680 · pith_short_12: B6QOY2ZQVZVU · pith_short_16: B6QOY2ZQVZVULWCJ · pith_short_8: B6QOY2ZQ

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/B6QOY2ZQVZVULWCJSXXQ7XJ62B \
  | 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: 0fa0ec6b30ae6b45d84995ef0fdd3ed06054eb42d0f49eb3e7626cba11ef94e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82e0d44709abae043e3a2e25c28c3a43a7c7e9fa6f7eed9e281003b2d0928ac9",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-11-15T18:04:55Z",
    "title_canon_sha256": "8f89e5fb33ad0c2092dd58a6c6da55cf1adbfd1d4e43d3cba4a6c9309f09bdb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3680",
    "kind": "arxiv",
    "version": 2
  }
}