Pith Number

pith:IJ7CMDPW

pith:2015:IJ7CMDPWGMGVHKYK5OYOCWGIFD

not attested not anchored not stored refs pending

On invariant graph subspaces

Albrecht Seelmann, Konstantin A. Makarov, Stephan Schmitz

arxiv:1509.07984 v2 · 2015-09-26 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJ7CMDPWGMGVHKYK5OYOCWGIFD}

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	2026-05-18T01:10:09.976564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427e260df6330d53ab0aebb0e158c828e7faea6f9e434a35eecee4e4ab0132e0

Aliases

arxiv: 1509.07984 · arxiv_version: 1509.07984v2 · doi: 10.48550/arxiv.1509.07984 · pith_short_12: IJ7CMDPWGMGV · pith_short_16: IJ7CMDPWGMGVHKYK · pith_short_8: IJ7CMDPW

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/IJ7CMDPWGMGVHKYK5OYOCWGIFD \
  | 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: 427e260df6330d53ab0aebb0e158c828e7faea6f9e434a35eecee4e4ab0132e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5d5cb6160a2a713c739e436e7ef6125a4167a1498f434990cfa9c5018c098fa",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-09-26T14:13:56Z",
    "title_canon_sha256": "f605cbb30b3e343b828a95e8b29ec9620da88d3f8fcf1b5b769da16346faafce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07984",
    "kind": "arxiv",
    "version": 2
  }
}