Pith Number

pith:JVVB72NO

pith:2016:JVVB72NOM6VHSFKROVODGSPNIR

not attested not anchored not stored refs pending

Quasicoherent sheaves on projective schemes over F_1

Matt Szczesny, Oliver Lorscheid

arxiv:1602.05233 v1 · 2016-02-16 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVVB72NOM6VHSFKROVODGSPNIR}

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	2026-05-18T01:20:28.816797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d6a1fe9ae67aa791551755c3349ed4445c621c29ad8cbba9f5b966011705454

Aliases

arxiv: 1602.05233 · arxiv_version: 1602.05233v1 · doi: 10.48550/arxiv.1602.05233 · pith_short_12: JVVB72NOM6VH · pith_short_16: JVVB72NOM6VHSFKR · pith_short_8: JVVB72NO

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/JVVB72NOM6VHSFKROVODGSPNIR \
  | 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: 4d6a1fe9ae67aa791551755c3349ed4445c621c29ad8cbba9f5b966011705454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d96a039056de6aa2b78cd014ac44e16696e1f2a4be26722dfeddd5d9d6744364",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-16T22:31:53Z",
    "title_canon_sha256": "e487021e40fdcd5a2b80dd4a379c8d587062354165f0a027d010ef81ea29b991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05233",
    "kind": "arxiv",
    "version": 1
  }
}