Pith Number

pith:RDKVRLOE

pith:2007:RDKVRLOEFKVIMBBSFP5OG6KUKO

not attested not anchored not stored refs pending

On the ideals of equivariant tree models

Jan Draisma, Jochen Kuttler

arxiv:0712.3230 v3 · 2007-12-19 · 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{RDKVRLOEFKVIMBBSFP5OG6KUKO}

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	2026-05-18T00:33:33.205218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88d558adc42aaa8604322bfae37954539c09c37cda076b8c7ec42303657b91e3

Aliases

arxiv: 0712.3230 · arxiv_version: 0712.3230v3 · doi: 10.48550/arxiv.0712.3230 · pith_short_12: RDKVRLOEFKVI · pith_short_16: RDKVRLOEFKVIMBBS · pith_short_8: RDKVRLOE

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/RDKVRLOEFKVIMBBSFP5OG6KUKO \
  | 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: 88d558adc42aaa8604322bfae37954539c09c37cda076b8c7ec42303657b91e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4790932fd012aa3d1489a2228a056c0b656cd40d4500b3f1a2970e6f2705509",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-19T16:46:31Z",
    "title_canon_sha256": "43747a94066cbc91bb7f8aa1e845a416130530c78d5f5f5dbdfc22f0f90b4b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3230",
    "kind": "arxiv",
    "version": 3
  }
}