Pith Number

pith:NX6TEKM4

pith:2015:NX6TEKM4IAZN4RXPTSSWYFXQFQ

not attested not anchored not stored refs pending

Total proper connection of graphs

Hui Jiang, Xueliang Li, Yingying Zhang

arxiv:1512.00726 v1 · 2015-12-02 · 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{NX6TEKM4IAZN4RXPTSSWYFXQFQ}

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	2026-05-18T01:25:25.238886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dfd32299c4032de46ef9ca56c16f02c28988d8e5a881b3fc538e55b3bae1090

Aliases

arxiv: 1512.00726 · arxiv_version: 1512.00726v1 · doi: 10.48550/arxiv.1512.00726 · pith_short_12: NX6TEKM4IAZN · pith_short_16: NX6TEKM4IAZN4RXP · pith_short_8: NX6TEKM4

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/NX6TEKM4IAZN4RXPTSSWYFXQFQ \
  | 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: 6dfd32299c4032de46ef9ca56c16f02c28988d8e5a881b3fc538e55b3bae1090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e6d77c6ebdfe49ead281d4708fe47b182869095906f053bcae18bf4d43701e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-02T15:01:51Z",
    "title_canon_sha256": "f9a69960292676f222808036e514bd0fbcc6e47b893ee50ccf10829d44e2625c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00726",
    "kind": "arxiv",
    "version": 1
  }
}