Pith Number

pith:MXVTHTUH

pith:2012:MXVTHTUH6GQIJA7NHVGTL6TFMX

not attested not anchored not stored refs pending

A construction of Chern classes of parabolic vector bundles

Ajneet Dhillon, Indranil Biswas

arxiv:1209.3160 v1 · 2012-09-14 · 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{MXVTHTUH6GQIJA7NHVGTL6TFMX}

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	2026-05-18T03:45:32.661612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65eb33ce87f1a08483ed3d4d35fa6565fe4b8355a89170ebc70223f8ce9dda08

Aliases

arxiv: 1209.3160 · arxiv_version: 1209.3160v1 · doi: 10.48550/arxiv.1209.3160 · pith_short_12: MXVTHTUH6GQI · pith_short_16: MXVTHTUH6GQIJA7N · pith_short_8: MXVTHTUH

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/MXVTHTUH6GQIJA7NHVGTL6TFMX \
  | 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: 65eb33ce87f1a08483ed3d4d35fa6565fe4b8355a89170ebc70223f8ce9dda08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e5d04f4e25abc561792b63d3647c4020d18e4c624aa6ebdd7e4b2ac692b297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-14T11:51:03Z",
    "title_canon_sha256": "34b69b174925434ca46934fb168e307d2e1aa10ff83485b3550a9110ac8041e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3160",
    "kind": "arxiv",
    "version": 1
  }
}