Pith Number

pith:SGTBIU5R

pith:2006:SGTBIU5RILG4G27IILA4PWFNAR

not attested not anchored not stored refs pending

A survey of length series identities for surfaces, % 3-manifolds and representation varieties

Ser Peow Tan, Yan Loi Wong, Ying Zhang

arxiv:math/0607107 v1 · 2006-07-05 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGTBIU5RILG4G27IILA4PWFNAR}

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	2026-07-04T14:58:16.730912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91a61453b142cdc36be842c1c7d8ad044462a9d8c8e11dbb7f67f40629a43a97

Aliases

arxiv: math/0607107 · arxiv_version: math/0607107v1 · doi: 10.48550/arxiv.math/0607107 · pith_short_12: SGTBIU5RILG4 · pith_short_16: SGTBIU5RILG4G27I · pith_short_8: SGTBIU5R

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/SGTBIU5RILG4G27IILA4PWFNAR \
  | 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: 91a61453b142cdc36be842c1c7d8ad044462a9d8c8e11dbb7f67f40629a43a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93871e43f3fdb6108c2e5cbc3246e40d1500f6edfc98a7d89f0e30ff2f32e70a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-07-05T02:26:21Z",
    "title_canon_sha256": "4a157d218c44622f2e7c3e0468e178309828ee6be2bf6ca18b72c59dfad07a8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607107",
    "kind": "arxiv",
    "version": 1
  }
}