Pith Number

pith:AQRVDHH3

pith:2017:AQRVDHH3XEIJDMQ45IOAE2PYHL

not attested not anchored not stored refs pending

A polynomial invariant for plane curve complements: Krammer polynomials

Hubeyb Gurdogan, Mehmet Emin Aktas, Serdar Cellat

arxiv:1707.05585 v1 · 2017-07-18 · math.AG · 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{AQRVDHH3XEIJDMQ45IOAE2PYHL}

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	2026-05-18T00:40:01.961951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0423519cfbb91091b21cea1c0269f83ac2b4dcd3694a640f762534f2083e61ff

Aliases

arxiv: 1707.05585 · arxiv_version: 1707.05585v1 · doi: 10.48550/arxiv.1707.05585 · pith_short_12: AQRVDHH3XEIJ · pith_short_16: AQRVDHH3XEIJDMQ4 · pith_short_8: AQRVDHH3

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/AQRVDHH3XEIJDMQ45IOAE2PYHL \
  | 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: 0423519cfbb91091b21cea1c0269f83ac2b4dcd3694a640f762534f2083e61ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56ad181f2c077ead1b84d01a0c71caeafa857c55dbafc7514d9b5bd5887dee70",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-18T12:29:27Z",
    "title_canon_sha256": "dd6a0a6e08a1843533e9d6872f7479077f30dc3709771649fdc40fce55809352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05585",
    "kind": "arxiv",
    "version": 1
  }
}