Pith Number

pith:O5VCFQE6

pith:2011:O5VCFQE6EDKL2UAMQUDA7LEP6D

not attested not anchored not stored refs pending

Asymptotic Hodge Theory of Vector Bundles

Benoit Charbonneau, Mark Stern

arxiv:1111.0591 v1 · 2011-11-02 · math.DG · 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{O5VCFQE6EDKL2UAMQUDA7LEP6D}

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	2026-05-18T02:28:05.676349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776a22c09e20d4bd500c85060fac8ff0fd65910a6ab345af3c162fb8914b6815

Aliases

arxiv: 1111.0591 · arxiv_version: 1111.0591v1 · doi: 10.48550/arxiv.1111.0591 · pith_short_12: O5VCFQE6EDKL · pith_short_16: O5VCFQE6EDKL2UAM · pith_short_8: O5VCFQE6

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/O5VCFQE6EDKL2UAMQUDA7LEP6D \
  | 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: 776a22c09e20d4bd500c85060fac8ff0fd65910a6ab345af3c162fb8914b6815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35252d6f2ea79dbc74815a33f5a53854fa3b2cd40110239440d3bff96d2312d0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-02T18:14:43Z",
    "title_canon_sha256": "725facb3a2a49d2970b88d32e912a2d6da27d1c04d5e6fc1e753ac9fd1a55a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0591",
    "kind": "arxiv",
    "version": 1
  }
}