Pith Number

pith:WMCKTRDT

pith:2015:WMCKTRDTCZVG4UROXGVI2JSV65

not attested not anchored not stored refs pending

An introduction to geometric complexity theory

J.M. Landsberg

arxiv:1509.02503 v1 · 2015-09-08 · math.AG · cs.CC · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMCKTRDTCZVG4UROXGVI2JSV65}

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	2026-05-18T01:33:40.765060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b304a9c473166a6e522eb9aa8d2655f77d0a64321bda24d4bcd9e68f809146bc

Aliases

arxiv: 1509.02503 · arxiv_version: 1509.02503v1 · doi: 10.48550/arxiv.1509.02503 · pith_short_12: WMCKTRDTCZVG · pith_short_16: WMCKTRDTCZVG4URO · pith_short_8: WMCKTRDT

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/WMCKTRDTCZVG4UROXGVI2JSV65 \
  | 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: b304a9c473166a6e522eb9aa8d2655f77d0a64321bda24d4bcd9e68f809146bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d543f3b5a4139d51b709a767f25f52dad1191f501070638127da6c738f70c7",
    "cross_cats_sorted": [
      "cs.CC",
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-08T19:16:33Z",
    "title_canon_sha256": "b0fb1143998efa9f55c61f66a6c4a80a09f0ac3899c432cd3e58261d091e8a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02503",
    "kind": "arxiv",
    "version": 1
  }
}