Pith Number

pith:6MSDK4RP

pith:2013:6MSDK4RPFB4TP622RBCWZX73DY

not attested not anchored not stored refs pending

Geometric Complexity Theory: an introduction for geometers

J.M. Landsberg

arxiv:1305.7387 v3 · 2013-05-31 · math.AG · cs.CC · 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{6MSDK4RPFB4TP622RBCWZX73DY}

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	2026-05-18T03:04:59.400405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32435722f287937fb5a88456cdffb1e04e2d9fb5619bd93045c073f375ca649

Aliases

arxiv: 1305.7387 · arxiv_version: 1305.7387v3 · doi: 10.48550/arxiv.1305.7387 · pith_short_12: 6MSDK4RPFB4T · pith_short_16: 6MSDK4RPFB4TP622 · pith_short_8: 6MSDK4RP

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/6MSDK4RPFB4TP622RBCWZX73DY \
  | 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: f32435722f287937fb5a88456cdffb1e04e2d9fb5619bd93045c073f375ca649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc0c5fa6b45320356d05a241abc1832d3466bc5f21c30a9666dcf80ab0ef1d6",
    "cross_cats_sorted": [
      "cs.CC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-31T13:10:22Z",
    "title_canon_sha256": "12c1f2b9ec157da370cbc0ffdea5a4eb7808aa7fdb2fca3bfb1c04504276f530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7387",
    "kind": "arxiv",
    "version": 3
  }
}