Pith Number

pith:XWSNF2W5

pith:2015:XWSNF2W5W5R4KJ32SX22WCY7ZC

not attested not anchored not stored refs pending

The projective stable category of a coherent scheme

James Gillespie, Sergio Estrada

arxiv:1511.02907 v1 · 2015-11-09 · 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{XWSNF2W5W5R4KJ32SX22WCY7ZC}

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	2026-05-17T23:50:16.679513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda4d2eaddb763c5277a95f5ab0b1fc8b4a36446f3e8557678b82b0ca4c7fb37

Aliases

arxiv: 1511.02907 · arxiv_version: 1511.02907v1 · doi: 10.48550/arxiv.1511.02907 · pith_short_12: XWSNF2W5W5R4 · pith_short_16: XWSNF2W5W5R4KJ32 · pith_short_8: XWSNF2W5

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/XWSNF2W5W5R4KJ32SX22WCY7ZC \
  | 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: bda4d2eaddb763c5277a95f5ab0b1fc8b4a36446f3e8557678b82b0ca4c7fb37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16509e795f059f35589db48e304c841de29d1f48d197d24f93b5ff68d2cf6da6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-09T22:00:00Z",
    "title_canon_sha256": "f10ef6ab68d9b051b839edb761a0cea7192ab58591b1e372a011f4c83f9b6179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02907",
    "kind": "arxiv",
    "version": 1
  }
}