Pith Number

pith:CDVKUUQX

pith:2004:CDVKUUQXVAXXKDCZH2Q5PBYE6E

not attested not anchored not stored refs pending

The Structure and Singularities of Arc Complexes

R. C. Penner

arxiv:math/0410603 v2 · 2004-10-28 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDVKUUQXVAXXKDCZH2Q5PBYE6E}

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	2026-07-04T14:50:08.103261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10eaaa5217a82f750c593ea1d78704f13dd1afd95cf808458799e2fe26db008e

Aliases

arxiv: math/0410603 · arxiv_version: math/0410603v2 · doi: 10.48550/arxiv.math/0410603 · pith_short_12: CDVKUUQXVAXX · pith_short_16: CDVKUUQXVAXXKDCZ · pith_short_8: CDVKUUQX

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/CDVKUUQXVAXXKDCZH2Q5PBYE6E \
  | 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: 10eaaa5217a82f750c593ea1d78704f13dd1afd95cf808458799e2fe26db008e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d620a96f6d492c3bce537a60349b4f1104eb5ed84a97077e49a708833e01f83",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-10-28T14:39:57Z",
    "title_canon_sha256": "357bb32dcc509854f1f7f97067b4700fe9616e553998e3dd806f3b5f27fb613d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410603",
    "kind": "arxiv",
    "version": 2
  }
}