Pith Number

pith:XQLOTCYM

pith:2011:XQLOTCYMHXEXOIHIXHDJVSGZVA

not attested not anchored not stored refs pending

L\^e-Greuel type formula for the Euler obstruction and applications

Nicolas Dutertre (LATP), Nivaldo G. Grulha Jr. (ICMC)

arxiv:1109.5802 v1 · 2011-09-27 · 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{XQLOTCYMHXEXOIHIXHDJVSGZVA}

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	2026-05-18T03:07:42.592359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc16e98b0c3dc97720e8b9c69ac8d9a81c8a4cc3e379254b18b2b25eb081ab4f

Aliases

arxiv: 1109.5802 · arxiv_version: 1109.5802v1 · doi: 10.48550/arxiv.1109.5802 · pith_short_12: XQLOTCYMHXEX · pith_short_16: XQLOTCYMHXEXOIHI · pith_short_8: XQLOTCYM

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/XQLOTCYMHXEXOIHIXHDJVSGZVA \
  | 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: bc16e98b0c3dc97720e8b9c69ac8d9a81c8a4cc3e379254b18b2b25eb081ab4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5ee0aff0f925f70c91aea3fa80d837c4f161e57581e40ecb7a00ae54de425d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-27T08:28:30Z",
    "title_canon_sha256": "aceb4a03a86a217935db42f6a873cb080fc729b196a283684b6b58cff81ecc8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5802",
    "kind": "arxiv",
    "version": 1
  }
}