Pith Number

pith:PS6IPAPZ

pith:2013:PS6IPAPZBPFSZ7L3DM6OHU2Y4W

not attested not anchored not stored refs pending

Universal Labeling Algebras as Invariants of Layered Graphs

Susan Durst

arxiv:1312.4093 v1 · 2013-12-14 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PS6IPAPZBPFSZ7L3DM6OHU2Y4W}

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	2026-05-18T03:04:35.780472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cbc8781f90bcb2cfd7b1b3ce3d358e590406a47cfc0aaa3a21b4324a60b14c8

Aliases

arxiv: 1312.4093 · arxiv_version: 1312.4093v1 · doi: 10.48550/arxiv.1312.4093 · pith_short_12: PS6IPAPZBPFS · pith_short_16: PS6IPAPZBPFSZ7L3 · pith_short_8: PS6IPAPZ

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/PS6IPAPZBPFSZ7L3DM6OHU2Y4W \
  | 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: 7cbc8781f90bcb2cfd7b1b3ce3d358e590406a47cfc0aaa3a21b4324a60b14c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f79aa2618de1395e1d7d6e02cf489ef3eecf23050004a9297b6b01374f5aa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-14T23:12:21Z",
    "title_canon_sha256": "3e071ec6ac747d8f11c03ac0f96a9817a5021325aedd83c72d4b618d03ba8c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4093",
    "kind": "arxiv",
    "version": 1
  }
}