Pith Number

pith:OSU4XQVL

pith:2016:OSU4XQVL3CIYKYFOQ75MXZY3PG

not attested not anchored not stored refs pending

The $\mu$-permanent, a new graph labeling, and a known integer sequence

Ant\'onio Pereira, Carlos M. da Fonseca, Milica An{\dj}eli\'c

arxiv:1609.04208 v1 · 2016-09-14 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OSU4XQVL3CIYKYFOQ75MXZY3PG}

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	2026-05-18T01:04:38.606699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74a9cbc2abd8918560ae87facbe71b798171bb5b38f7119adc8ccbf84b94a9b0

Aliases

arxiv: 1609.04208 · arxiv_version: 1609.04208v1 · doi: 10.48550/arxiv.1609.04208 · pith_short_12: OSU4XQVL3CIY · pith_short_16: OSU4XQVL3CIYKYFO · pith_short_8: OSU4XQVL

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/OSU4XQVL3CIYKYFOQ75MXZY3PG \
  | 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: 74a9cbc2abd8918560ae87facbe71b798171bb5b38f7119adc8ccbf84b94a9b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dbc26c245e6856223a4db5782583589e86710cc3ac3a5509bb1e0c257c96fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-14T10:32:53Z",
    "title_canon_sha256": "c51862e0fcf65866dd49f799599deab514da341bc2af2b14041779cbd4bd7f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04208",
    "kind": "arxiv",
    "version": 1
  }
}