Pith Number

pith:IQTDVPRW

pith:2011:IQTDVPRWTUVOOQFOPI2WL6SFFA

not attested not anchored not stored refs pending

Poincar\'e duality and degrees of twisted Alexander polynomials

Stefan Friedl, Taehee Kim, Takahiro Kitayama

arxiv:1107.3002 v1 · 2011-07-15 · 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{IQTDVPRWTUVOOQFOPI2WL6SFFA}

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	2026-05-18T04:18:14.907701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44263abe369d2ae740ae7a3565fa452812c575f8e55e67342ee74e48c7cc24e5

Aliases

arxiv: 1107.3002 · arxiv_version: 1107.3002v1 · doi: 10.48550/arxiv.1107.3002 · pith_short_12: IQTDVPRWTUVO · pith_short_16: IQTDVPRWTUVOOQFO · pith_short_8: IQTDVPRW

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/IQTDVPRWTUVOOQFOPI2WL6SFFA \
  | 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: 44263abe369d2ae740ae7a3565fa452812c575f8e55e67342ee74e48c7cc24e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0af6a1e4d8002d9a60dca41282b1a30a2c28f65f8147e12e3f4340e5748a5da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-15T07:47:43Z",
    "title_canon_sha256": "277506dec1898d91ff0ca3509aefe69bac533c93c6248f3b2a825e4f58518d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3002",
    "kind": "arxiv",
    "version": 1
  }
}