Pith Number

pith:FB42AB6K

pith:2016:FB42AB6KFHQB2JHCAPRR56342R

not attested not anchored not stored refs pending

On the normalized spectrum of threshold graphs

Anirban Banerjee, Ranjit Mehatari

arxiv:1610.08816 v2 · 2016-10-27 · 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{FB42AB6KFHQB2JHCAPRR56342R}

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	2026-05-18T00:45:01.439416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2879a007ca29e01d24e203e31efb7cd45e7e5509898698dd096208c194e14ff0

Aliases

arxiv: 1610.08816 · arxiv_version: 1610.08816v2 · doi: 10.48550/arxiv.1610.08816 · pith_short_12: FB42AB6KFHQB · pith_short_16: FB42AB6KFHQB2JHC · pith_short_8: FB42AB6K

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/FB42AB6KFHQB2JHCAPRR56342R \
  | 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: 2879a007ca29e01d24e203e31efb7cd45e7e5509898698dd096208c194e14ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce7ce074b661bc696e41c0dabf85e95e1528d2672755db7446c5e7f4188def2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-27T14:50:45Z",
    "title_canon_sha256": "5cb2f96239701ce229706ae3b2663470c658ed1c934cdcca2418e91ba9b790e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08816",
    "kind": "arxiv",
    "version": 2
  }
}