Pith Number

pith:UDIG7QSI

pith:2014:UDIG7QSI3OZBCWWVEVYINVZH6E

not attested not anchored not stored refs pending

Witt vectors and truncation posets

Vigleik Angeltveit

arxiv:1409.4156 v2 · 2014-09-15 · math.AC · math.AG · math.AT · math.CT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDIG7QSI3OZBCWWVEVYINVZH6E}

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	2026-05-18T00:51:05.687984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d06fc248dbb2115ad5257086d727f11d3720b0520600678c456358a9cb994e

Aliases

arxiv: 1409.4156 · arxiv_version: 1409.4156v2 · doi: 10.48550/arxiv.1409.4156 · pith_short_12: UDIG7QSI3OZB · pith_short_16: UDIG7QSI3OZBCWWV · pith_short_8: UDIG7QSI

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/UDIG7QSI3OZBCWWVEVYINVZH6E \
  | 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: a0d06fc248dbb2115ad5257086d727f11d3720b0520600678c456358a9cb994e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0a64ac8e4bd176dbdecc38f5e93e743e2a8a55fd2c637d1bc412afaf6597b09",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.CT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-15T04:39:36Z",
    "title_canon_sha256": "d28c70c9030991cf2cda68db4fa75d32f01bdf91e637f201d3a00186629039a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4156",
    "kind": "arxiv",
    "version": 2
  }
}