Pith Number

pith:EEPGS436

pith:2008:EEPGS436IBTMOHEXVA4MBLOUHM

not attested not anchored not stored refs pending

Quadratic enhancements of surfaces: two vanishing results

Laurence R. Taylor

arxiv:0802.0111 v1 · 2008-02-01 · 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{EEPGS436IBTMOHEXVA4MBLOUHM}

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	2026-05-18T01:56:00.257877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211e69737e4066c71c97a838c0add43b2caee9ef8fa85e3369ed388e89fdcf99

Aliases

arxiv: 0802.0111 · arxiv_version: 0802.0111v1 · doi: 10.48550/arxiv.0802.0111 · pith_short_12: EEPGS436IBTM · pith_short_16: EEPGS436IBTMOHEX · pith_short_8: EEPGS436

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/EEPGS436IBTMOHEXVA4MBLOUHM \
  | 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: 211e69737e4066c71c97a838c0add43b2caee9ef8fa85e3369ed388e89fdcf99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6af89991bd547f4a6da88e5d441ca907b8d7f53c9cf3940498e3bb841bc5805",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2008-02-01T19:53:36Z",
    "title_canon_sha256": "d3e89bca86be9fa99f51584fc9cf691d9557c430cdaae8b16d87860093c9c40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0111",
    "kind": "arxiv",
    "version": 1
  }
}