Pith Number

pith:TJSTRBN6

pith:2013:TJSTRBN6TAFMPXASN2FCZQHIHA

not attested not anchored not stored refs pending

On the Grothendieck ring of varieties

Amit Kuber

arxiv:1311.1736 v2 · 2013-11-07 · 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{TJSTRBN6TAFMPXASN2FCZQHIHA}

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	2026-05-17T23:53:14.952415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a653885be980ac7dc126e8a2cc0e83807ddfb72a9770d0d7d82a17efdecd8bd

Aliases

arxiv: 1311.1736 · arxiv_version: 1311.1736v2 · doi: 10.48550/arxiv.1311.1736 · pith_short_12: TJSTRBN6TAFM · pith_short_16: TJSTRBN6TAFMPXAS · pith_short_8: TJSTRBN6

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/TJSTRBN6TAFMPXASN2FCZQHIHA \
  | 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: 9a653885be980ac7dc126e8a2cc0e83807ddfb72a9770d0d7d82a17efdecd8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd44d670c50c5f983f2db579bedf747032aaf96abc6136e318725c37c04bee54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-07T16:39:40Z",
    "title_canon_sha256": "bf42d6b9635dcb900b9127a37037ae82dc8fca7ac2656bf285c6e23786f5ed42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1736",
    "kind": "arxiv",
    "version": 2
  }
}