Pith Number

pith:ZTAQQ3PL

pith:2016:ZTAQQ3PL7UFFNCY56LLX4G46CG

not attested not anchored not stored refs pending

Derivatives and real roots of graph polynomials

Xueliang Li, Yongtang Shi

arxiv:1601.01843 v2 · 2016-01-08 · 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{ZTAQQ3PL7UFFNCY56LLX4G46CG}

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	2026-05-18T01:23:02.045920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc1086debfd0a568b1df2d77e1b9e11a682cbbaca6176149b0cd8d034b8e91e

Aliases

arxiv: 1601.01843 · arxiv_version: 1601.01843v2 · doi: 10.48550/arxiv.1601.01843 · pith_short_12: ZTAQQ3PL7UFF · pith_short_16: ZTAQQ3PL7UFFNCY5 · pith_short_8: ZTAQQ3PL

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/ZTAQQ3PL7UFFNCY56LLX4G46CG \
  | 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: ccc1086debfd0a568b1df2d77e1b9e11a682cbbaca6176149b0cd8d034b8e91e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5cd1aef977551e69e80a269155dc2fbf85160eb001da71a23849eac6ce9b859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-08T12:08:51Z",
    "title_canon_sha256": "64d360ef827bc7ea07732435621f693c85fc9a273e0212f7ae1f0d5a58a7bcae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01843",
    "kind": "arxiv",
    "version": 2
  }
}