Pith Number

pith:WWGW7QQ5

pith:2007:WWGW7QQ5ESF6GLU6JHYISJKEBS

not attested not anchored not stored refs pending

Projective structures, grafting, and measured laminations

David Dumas, Michael Wolf

arxiv:0712.0968 v1 · 2007-12-06 · math.DG · 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{WWGW7QQ5ESF6GLU6JHYISJKEBS}

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	2026-05-18T02:38:19.287006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58d6fc21d248be32e9e49f08925440c942bd06f3ef556df75d0b87672a6165f

Aliases

arxiv: 0712.0968 · arxiv_version: 0712.0968v1 · doi: 10.48550/arxiv.0712.0968 · pith_short_12: WWGW7QQ5ESF6 · pith_short_16: WWGW7QQ5ESF6GLU6 · pith_short_8: WWGW7QQ5

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/WWGW7QQ5ESF6GLU6JHYISJKEBS \
  | 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: b58d6fc21d248be32e9e49f08925440c942bd06f3ef556df75d0b87672a6165f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db85cc3a17bcbf073e778f7c0b2b90ea8578661425dc57fda0d5f316842482f",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-12-06T15:34:38Z",
    "title_canon_sha256": "1a830e6385716f5aa64c7b67e24eb1aaadbc5b28e5f8733e4d76e99d2ff8bbe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0968",
    "kind": "arxiv",
    "version": 1
  }
}