Pith Number

pith:7CJEHLIB

pith:2013:7CJEHLIBW2MRMTC376ZQLACISO

not attested not anchored not stored refs pending

Units in Grothendieck-Witt rings and A^1-spherical fibrations

Matthias Wendt

arxiv:1304.5922 v1 · 2013-04-22 · 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{7CJEHLIBW2MRMTC376ZQLACISO}

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	2026-05-18T03:27:23.759594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f89243ad01b699164c5bffb3058048938928df7ed2e21b56cd41fa8f7496089c

Aliases

arxiv: 1304.5922 · arxiv_version: 1304.5922v1 · doi: 10.48550/arxiv.1304.5922 · pith_short_12: 7CJEHLIBW2MR · pith_short_16: 7CJEHLIBW2MRMTC3 · pith_short_8: 7CJEHLIB

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/7CJEHLIBW2MRMTC376ZQLACISO \
  | 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: f89243ad01b699164c5bffb3058048938928df7ed2e21b56cd41fa8f7496089c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14159698562cce6d8a0b24f16a887b3a3bc1847d80e118cb5dee1d727a460d44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-04-22T12:14:37Z",
    "title_canon_sha256": "563e651d530b5126f870e4e155a7902bfade82776a54ebb2c8b18eeb7370167f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5922",
    "kind": "arxiv",
    "version": 1
  }
}