Pith Number

pith:VGDRRI6A

pith:2013:VGDRRI6A4GARINYDA7T5NL7CEI

not attested not anchored not stored refs pending

Algebraic codes, Horn's problem and Gromov-Witten invariants

Alberto Besana, Cristina Martinez

arxiv:1301.1652 v2 · 2013-01-08 · math.CO · 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{VGDRRI6A4GARINYDA7T5NL7CEI}

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	2026-05-18T00:53:40.937503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98718a3c0e18114370307e7d6afe2222d50255db767f19157c2f3c263f253fa

Aliases

arxiv: 1301.1652 · arxiv_version: 1301.1652v2 · doi: 10.48550/arxiv.1301.1652 · pith_short_12: VGDRRI6A4GAR · pith_short_16: VGDRRI6A4GARINYD · pith_short_8: VGDRRI6A

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/VGDRRI6A4GARINYDA7T5NL7CEI \
  | 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: a98718a3c0e18114370307e7d6afe2222d50255db767f19157c2f3c263f253fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e204a39f697b38d1d6426d65c866d4e99d24105ff3ec3f0de76bbe81b8fb74",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-08T19:52:13Z",
    "title_canon_sha256": "f37bff6909d6e967161539e9e3f49ed5629e80fc5b1c4fb6d108c43fe4e8bbbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1652",
    "kind": "arxiv",
    "version": 2
  }
}