Pith Number

pith:ZCJXWA4M

pith:2017:ZCJXWA4MDQNGZXSN65AIF7TF53

not attested not anchored not stored refs pending

Packing tree degree sequences

Aravind Gollakota, Istvan Miklos, William Hardt

arxiv:1704.03148 v1 · 2017-04-11 · 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{ZCJXWA4MDQNGZXSN65AIF7TF53}

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	2026-05-18T00:46:33.411146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8937b038c1c1a6cde4df74082fe65eef9e3ff2ad406e012750e4607c5c810a1

Aliases

arxiv: 1704.03148 · arxiv_version: 1704.03148v1 · doi: 10.48550/arxiv.1704.03148 · pith_short_12: ZCJXWA4MDQNG · pith_short_16: ZCJXWA4MDQNGZXSN · pith_short_8: ZCJXWA4M

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/ZCJXWA4MDQNGZXSN65AIF7TF53 \
  | 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: c8937b038c1c1a6cde4df74082fe65eef9e3ff2ad406e012750e4607c5c810a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4255a2c723154fbb0b02c10297c8e5702b01bfa6436fe2639b3448d547909e12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-11T05:33:50Z",
    "title_canon_sha256": "ca843a7865c9a96cc7d5bff7fc3fa9cf2abfd85dfa32d78e92520f96fa596c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03148",
    "kind": "arxiv",
    "version": 1
  }
}