Pith Number

pith:XEU45SFA

pith:2015:XEU45SFAWLKLBKBVDQOPGJQYG5

not attested not anchored not stored refs pending

Some remarks on phantom categories and motives

Pawel Sosna

arxiv:1511.07711 v2 · 2015-11-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEU45SFAWLKLBKBVDQOPGJQYG5}

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.

Cited by

2 papers in Pith

On strong exceptional collections of line bundles of maximal length on Fano toric Deligne-Mumford stacks

The Lichtenbaum-Quillen dimension of complex varieties

Receipt and verification

First computed	2026-05-18T01:22:32.844477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b929cec8a0b2d4b0a8351c1cf32618376e9605b6bfcc9381fb787a5a29379243

Aliases

arxiv: 1511.07711 · arxiv_version: 1511.07711v2 · doi: 10.48550/arxiv.1511.07711 · pith_short_12: XEU45SFAWLKL · pith_short_16: XEU45SFAWLKLBKBV · pith_short_8: XEU45SFA

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/XEU45SFAWLKLBKBVDQOPGJQYG5 \
  | 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: b929cec8a0b2d4b0a8351c1cf32618376e9605b6bfcc9381fb787a5a29379243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04b1830b7cf0b80e95bde9fc2ffb53ac8d8dbec77d6f58771a3438281e5b492",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-24T14:06:00Z",
    "title_canon_sha256": "c409653397c9e083b5f1b55c9896b7efab657926322798bd812df595e086b8f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07711",
    "kind": "arxiv",
    "version": 2
  }
}