Pith Number

pith:ASBPNRBM

pith:2015:ASBPNRBMGACFKRO6MK7C3LBRSM

not attested not anchored not stored refs pending

The character of the total power operation

Nathaniel Stapleton, Tobias Barthel

arxiv:1502.01987 v3 · 2015-02-06 · math.AT · 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{ASBPNRBMGACFKRO6MK7C3LBRSM}

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	2026-05-18T00:50:29.972291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0482f6c42c30045545de62be2dac3193356c62a8bddc5a47b52f95c6ca6c80c1

Aliases

arxiv: 1502.01987 · arxiv_version: 1502.01987v3 · doi: 10.48550/arxiv.1502.01987 · pith_short_12: ASBPNRBMGACF · pith_short_16: ASBPNRBMGACFKRO6 · pith_short_8: ASBPNRBM

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/ASBPNRBMGACFKRO6MK7C3LBRSM \
  | 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: 0482f6c42c30045545de62be2dac3193356c62a8bddc5a47b52f95c6ca6c80c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097328c4994ce01d149688fd94d0a461b8969f4955a2d1c59d5d5ddfd6cac209",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-06T18:58:21Z",
    "title_canon_sha256": "a2c692b2f544172ecc869b96600fc1a5a363dfbc92949733d9903a3cd7786b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01987",
    "kind": "arxiv",
    "version": 3
  }
}