Pith Number

pith:I23DBFCS

pith:2012:I23DBFCS3G6KYY4P64J63R6NJV

not attested not anchored not stored refs pending

On algebraic volume density property

Frank Kutzschebauch, Shulim Kaliman

arxiv:1201.4769 v2 · 2012-01-23 · 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{I23DBFCS3G6KYY4P64J63R6NJV}

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	2026-05-18T02:59:48.467758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b6309452d9bcac638ff713edc7cd4d67c660fd29e4c644cfc2fff2d1e76cdd

Aliases

arxiv: 1201.4769 · arxiv_version: 1201.4769v2 · doi: 10.48550/arxiv.1201.4769 · pith_short_12: I23DBFCS3G6K · pith_short_16: I23DBFCS3G6KYY4P · pith_short_8: I23DBFCS

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/I23DBFCS3G6KYY4P64J63R6NJV \
  | 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: 46b6309452d9bcac638ff713edc7cd4d67c660fd29e4c644cfc2fff2d1e76cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70bec6fb0b3c2c507617518e19ad9d70cb34dbcbd1bcb48bd5b7eed0c05bcaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-23T17:03:13Z",
    "title_canon_sha256": "94d0ec5e30914254739cb93d082031fd81cf8d2b3e31ba16517a41858e738ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4769",
    "kind": "arxiv",
    "version": 2
  }
}