Pith Number

pith:XTVA57W4

pith:2011:XTVA57W453FHBFNSGNKD3Q4C2G

not attested not anchored not stored refs pending

Grothendieck classes and Chern classes of hyperplane arrangements

Paolo Aluffi

arxiv:1103.2777 v2 · 2011-03-14 · 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{XTVA57W453FHBFNSGNKD3Q4C2G}

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	2026-05-18T03:19:24.473536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcea0efedceeca7095b233543dc382d1b8ef42347c233ce4d314a7e52a260df0

Aliases

arxiv: 1103.2777 · arxiv_version: 1103.2777v2 · doi: 10.48550/arxiv.1103.2777 · pith_short_12: XTVA57W453FH · pith_short_16: XTVA57W453FHBFNS · pith_short_8: XTVA57W4

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/XTVA57W453FHBFNSGNKD3Q4C2G \
  | 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: bcea0efedceeca7095b233543dc382d1b8ef42347c233ce4d314a7e52a260df0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ff1d89ce02d331764b082ae153325bed18fd2eba24d8b22b61a76e36c2fa2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-14T20:14:17Z",
    "title_canon_sha256": "318af8073c2f236108f13528170004a03f82d6e3a39419852fcbe08d9fad9440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2777",
    "kind": "arxiv",
    "version": 2
  }
}