Pith Number

pith:723CEXHG

pith:2020:723CEXHG77AHYV4OVNMR4KSWZI

not attested not anchored not stored refs pending

Non-Archimedean volumes of metrized nef line bundles

Florent Martin, S\'ebastien Boucksom, Walter Gubler

arxiv:2011.06986 v3 · 2020-11-13 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{723CEXHG77AHYV4OVNMR4KSWZI}

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	2026-07-05T09:34:07.672922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feb6225ce6ffc07c578eab591e2a56ca2e0ccb436613bce116788e8cf08f56e0

Aliases

arxiv: 2011.06986 · arxiv_version: 2011.06986v3 · doi: 10.48550/arxiv.2011.06986 · pith_short_12: 723CEXHG77AH · pith_short_16: 723CEXHG77AHYV4O · pith_short_8: 723CEXHG

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/723CEXHG77AHYV4OVNMR4KSWZI \
  | 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: feb6225ce6ffc07c578eab591e2a56ca2e0ccb436613bce116788e8cf08f56e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81af852ed90bca653f6cb0d3bf129ae9ef19988e89353719c17806208df75c4b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-11-13T16:07:48Z",
    "title_canon_sha256": "3e3b7b3e91344df4fe42d2cdd0c52ec3a34c96a7083a85b7151d28ccc41493d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.06986",
    "kind": "arxiv",
    "version": 3
  }
}