Pith Number

pith:TTFXYRBO

pith:2012:TTFXYRBO7J7U44YOBVMNAQO3MF

not attested not anchored not stored refs pending

Monoid algebras of projection functors

Anna-Louise Grensing

arxiv:1203.1943 v2 · 2012-03-08 · 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{TTFXYRBO7J7U44YOBVMNAQO3MF}

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	2026-05-18T03:52:00.971848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ccb7c442efa7f4e730e0d58d041db614f49c62dddd0dc64f89eb5bf8ce3fbd7

Aliases

arxiv: 1203.1943 · arxiv_version: 1203.1943v2 · doi: 10.48550/arxiv.1203.1943 · pith_short_12: TTFXYRBO7J7U · pith_short_16: TTFXYRBO7J7U44YO · pith_short_8: TTFXYRBO

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/TTFXYRBO7J7U44YOBVMNAQO3MF \
  | 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: 9ccb7c442efa7f4e730e0d58d041db614f49c62dddd0dc64f89eb5bf8ce3fbd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43358d3d7c769ee406594a8fbbeec626f3472f8f39c492bf1146d786cfdce021",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-08T21:48:19Z",
    "title_canon_sha256": "aba0266de900e8ded13643e1b7e8ef56e7178fb752ea851e3524ccc347d4743d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1943",
    "kind": "arxiv",
    "version": 2
  }
}