Pith Number

pith:QBIFU5WQ

pith:2015:QBIFU5WQ6CBZDM462LHU7V7PJE

not attested not anchored not stored refs pending

Chern classes of crystals

Atsushi Shiho, H\'el\`ene Esnault

arxiv:1511.06874 v1 · 2015-11-21 · 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{QBIFU5WQ6CBZDM462LHU7V7PJE}

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	2026-05-18T01:26:17.288674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80505a76d0f08391b39ed2cf4fd7ef49152bb3ee67e004610f9e9852df0cb398

Aliases

arxiv: 1511.06874 · arxiv_version: 1511.06874v1 · doi: 10.48550/arxiv.1511.06874 · pith_short_12: QBIFU5WQ6CBZ · pith_short_16: QBIFU5WQ6CBZDM46 · pith_short_8: QBIFU5WQ

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/QBIFU5WQ6CBZDM462LHU7V7PJE \
  | 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: 80505a76d0f08391b39ed2cf4fd7ef49152bb3ee67e004610f9e9852df0cb398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef4648ed192f83da0d4dac9cf51a4c99f6bd6af3d57f86e233bb232152bcd91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-21T12:32:21Z",
    "title_canon_sha256": "beb32f359dd18d2793e04b5967ebcfbb9d851ba463381751fc71a20c58313c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06874",
    "kind": "arxiv",
    "version": 1
  }
}