Pith Number

pith:4NUPAJXG

pith:2010:4NUPAJXGZSGFHYTVAYJI2NPPRE

not attested not anchored not stored refs pending

Fibre sequences and localization of simplicial sheaves

Matthias Wendt

arxiv:1011.4784 v2 · 2010-11-22 · 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{4NUPAJXGZSGFHYTVAYJI2NPPRE}

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	2026-05-18T02:41:50.676070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e368f026e6cc8c53e27506128d35ef891aee90fffdbed8b1e035f67fb11aa7ff

Aliases

arxiv: 1011.4784 · arxiv_version: 1011.4784v2 · doi: 10.48550/arxiv.1011.4784 · pith_short_12: 4NUPAJXGZSGF · pith_short_16: 4NUPAJXGZSGFHYTV · pith_short_8: 4NUPAJXG

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/4NUPAJXGZSGFHYTVAYJI2NPPRE \
  | 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: e368f026e6cc8c53e27506128d35ef891aee90fffdbed8b1e035f67fb11aa7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae9a45a3690d42f5986862d1dd32c8765e11cdbd1cd2114a3bb678d154b10e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-11-22T12:12:13Z",
    "title_canon_sha256": "03a4054a1228d205c05c6f97f50912143999b23f04a4a0fa8731e756408315d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4784",
    "kind": "arxiv",
    "version": 2
  }
}