Pith Number

pith:O34HMEGB

pith:2016:O34HMEGBPGSQUR4XZG2OSE3GG7

not attested not anchored not stored refs pending

Difference Hierarchies for $nT$ $\tau$-Functions

Darlayne Addabbo, Maarten Bergvelt

arxiv:1611.10340 v2 · 2016-11-30 · 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{O34HMEGBPGSQUR4XZG2OSE3GG7}

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	2026-05-18T00:15:42.953886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f87610c179a50a4797c9b4e9136637de69fd9de99280bcec36b07b7b076a44

Aliases

arxiv: 1611.10340 · arxiv_version: 1611.10340v2 · doi: 10.48550/arxiv.1611.10340 · pith_short_12: O34HMEGBPGSQ · pith_short_16: O34HMEGBPGSQUR4X · pith_short_8: O34HMEGB

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/O34HMEGBPGSQUR4XZG2OSE3GG7 \
  | 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: 76f87610c179a50a4797c9b4e9136637de69fd9de99280bcec36b07b7b076a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b1bbea9d8a3287dccd4946d388fbec85c384dcf82d1d68042aaffc4a40badb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-30T20:20:51Z",
    "title_canon_sha256": "6e0705e5fb4282a3701157150b07755050c26a0c66b6791f57190e72d6f2212a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10340",
    "kind": "arxiv",
    "version": 2
  }
}