Pith Number

pith:4A54XUTL

pith:2015:4A54XUTLSA6PX4V47YTIN2UAOW

not attested not anchored not stored refs pending

Syst\`emes de points dans les dg-cat\'egories satur\'ees

B. To\"en, M. Vaqui\'e

arxiv:1504.07748 v1 · 2015-04-29 · 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{4A54XUTLSA6PX4V47YTIN2UAOW}

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	2026-05-18T02:17:32.363181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03bcbd26b903cfbf2bcfe2686ea8075a34b10537633d32f1a8762a4795dd6af

Aliases

arxiv: 1504.07748 · arxiv_version: 1504.07748v1 · doi: 10.48550/arxiv.1504.07748 · pith_short_12: 4A54XUTLSA6P · pith_short_16: 4A54XUTLSA6PX4V4 · pith_short_8: 4A54XUTL

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/4A54XUTLSA6PX4V47YTIN2UAOW \
  | 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: e03bcbd26b903cfbf2bcfe2686ea8075a34b10537633d32f1a8762a4795dd6af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e92192da16a73cfba6330e0a241ed7b89328195f0a88ad5ac58b81f1082be04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-29T07:54:39Z",
    "title_canon_sha256": "90c96c16f3a480191b39705c224e13abb15adb83d17e6c61c2f9087b7606c89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07748",
    "kind": "arxiv",
    "version": 1
  }
}