Pith Number

pith:MJ6EH7JH

pith:2010:MJ6EH7JHBH5FILUGI35ZIPJCNW

not attested not anchored not stored refs pending

Volume functions of linear series

Alex Kuronya, Catriona Maclean, Victor Lozovanu

arxiv:1008.3986 v2 · 2010-08-24 · 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{MJ6EH7JHBH5FILUGI35ZIPJCNW}

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	2026-05-18T03:44:24.796779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627c43fd2709fa542e8646fb943d226d94bd561d8b66013dc7539169bd8190b5

Aliases

arxiv: 1008.3986 · arxiv_version: 1008.3986v2 · doi: 10.48550/arxiv.1008.3986 · pith_short_12: MJ6EH7JHBH5F · pith_short_16: MJ6EH7JHBH5FILUG · pith_short_8: MJ6EH7JH

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/MJ6EH7JHBH5FILUGI35ZIPJCNW \
  | 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: 627c43fd2709fa542e8646fb943d226d94bd561d8b66013dc7539169bd8190b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba2c468f60c4d55c20fcc3f27a9e82405f3c4d56a6c6a1a8d3663863fe97ccd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-24T08:38:10Z",
    "title_canon_sha256": "7a88a9ffea450535a37e8f9b5f88a8c6ad4a05f0f4e016fa02fd2ed4df1a41cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3986",
    "kind": "arxiv",
    "version": 2
  }
}