Pith Number

pith:GOCWEGHP

pith:2011:GOCWEGHPKZUVSWL5XOLO7WNHI4

not attested not anchored not stored refs pending

Koszul spaces

Alexander Berglund

arxiv:1107.0685 v1 · 2011-07-04 · 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{GOCWEGHPKZUVSWL5XOLO7WNHI4}

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	2026-05-18T04:18:53.586781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33856218ef566959597dbb96efd9a7470241c3d7efb554c12ec6d37fa3f91053

Aliases

arxiv: 1107.0685 · arxiv_version: 1107.0685v1 · doi: 10.48550/arxiv.1107.0685 · pith_short_12: GOCWEGHPKZUV · pith_short_16: GOCWEGHPKZUVSWL5 · pith_short_8: GOCWEGHP

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/GOCWEGHPKZUVSWL5XOLO7WNHI4 \
  | 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: 33856218ef566959597dbb96efd9a7470241c3d7efb554c12ec6d37fa3f91053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ba01305b9cf899aa2895d4d57de07c711000083b401a28828fa634ea9bac5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-07-04T17:42:20Z",
    "title_canon_sha256": "3e79202bce448ca9c82ca407b521d3fbfdcc28e314fe5cee7e29d01e63b966ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0685",
    "kind": "arxiv",
    "version": 1
  }
}