Pith Number

pith:2CXCBU5N

pith:2015:2CXCBU5NTOPH2C2PZ3U3WT6Q3C

not attested not anchored not stored refs pending

The volume of a set of arcs on a variety

Mircea Mustata, Tommaso de Fernex

arxiv:1506.06424 v1 · 2015-06-21 · 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{2CXCBU5NTOPH2C2PZ3U3WT6Q3C}

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	2026-05-18T01:41:45.268094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ae20d3ad9b9e7d0b4fcee9bb4fd0d893a331c9a92140f2fbe657fb18a25fa8

Aliases

arxiv: 1506.06424 · arxiv_version: 1506.06424v1 · doi: 10.48550/arxiv.1506.06424 · pith_short_12: 2CXCBU5NTOPH · pith_short_16: 2CXCBU5NTOPH2C2P · pith_short_8: 2CXCBU5N

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/2CXCBU5NTOPH2C2PZ3U3WT6Q3C \
  | 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: d0ae20d3ad9b9e7d0b4fcee9bb4fd0d893a331c9a92140f2fbe657fb18a25fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79054937ab84306fc4b3964900a3d9adc684a181e16a4d8b8699ff47576578f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-21T23:39:45Z",
    "title_canon_sha256": "550ea367cb9c82289a64b6179f901601ca80b3e35d09486229f93ea4cd34d8c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06424",
    "kind": "arxiv",
    "version": 1
  }
}