Pith Number

pith:NXOS36I6

pith:2019:NXOS36I6CT4OVK2ABZBW43APEF

not attested not anchored not stored refs pending

Probabilistic refinement of the asymptotic spectrum of graphs

P\'eter Vrana

arxiv:1903.01857 v1 · 2019-03-05 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXOS36I6CT4OVK2ABZBW43APEF}

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	2026-05-17T23:51:59.562657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ddd2df91e14f8eaab400e436e6c0f216f87aea1f51d7a4bffc34f7ea7017cd2

Aliases

arxiv: 1903.01857 · arxiv_version: 1903.01857v1 · doi: 10.48550/arxiv.1903.01857 · pith_short_12: NXOS36I6CT4O · pith_short_16: NXOS36I6CT4OVK2A · pith_short_8: NXOS36I6

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/NXOS36I6CT4OVK2ABZBW43APEF \
  | 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: 6ddd2df91e14f8eaab400e436e6c0f216f87aea1f51d7a4bffc34f7ea7017cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0f5d2fbc49ff6f3c554e2c454c7c6a0bd4365084c08f42ac97863297b8bd9c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-05T14:36:03Z",
    "title_canon_sha256": "8a14ac45e46622207821c306f17addbfaa6f941295ad6f9c89fb6d1dd3030e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01857",
    "kind": "arxiv",
    "version": 1
  }
}