Pith Number

pith:TMWLZJVM

pith:2001:TMWLZJVMNOZD7OM6TK3U6V5SYV

not attested not anchored not stored refs pending

Reshetikhin-Turaev invariants of Seifert 3-manifolds and a rational surgery formula

Soren Kold Hansen

arxiv:math/0111057 v1 · 2001-11-06 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMWLZJVMNOZD7OM6TK3U6V5SYV}

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	2026-05-18T02:41:33.192184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2cbca6ac6bb23fb99e9ab74f57b2c574fbf407e178637ee8b8b6a9d2dfc477

Aliases

arxiv: math/0111057 · arxiv_version: math/0111057v1 · doi: 10.48550/arxiv.math/0111057 · pith_short_12: TMWLZJVMNOZD · pith_short_16: TMWLZJVMNOZD7OM6 · pith_short_8: TMWLZJVM

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/TMWLZJVMNOZD7OM6TK3U6V5SYV \
  | 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: 9b2cbca6ac6bb23fb99e9ab74f57b2c574fbf407e178637ee8b8b6a9d2dfc477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9bbbd915885526b9f1a67568ba5401f9d01e9116da8416f09ff259061c40451",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-11-06T11:57:59Z",
    "title_canon_sha256": "01184d5225b9ba396bb5437833a668e2d970109945af2e2f7e4f8e0fcb658e94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111057",
    "kind": "arxiv",
    "version": 1
  }
}