Pith Number

pith:IFKLAHWX

pith:2016:IFKLAHWXHC5NRFYQ65AR5Q6Z6G

not attested not anchored not stored refs pending

Cacti with Extremal PI Index

Bing Wei, Chunxiang Wang, Shaohui Wang

arxiv:1603.00282 v1 · 2016-03-01 · 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{IFKLAHWXHC5NRFYQ65AR5Q6Z6G}

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	2026-05-18T01:19:45.443926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4154b01ed738bad89710f7411ec3d9f19696e503ead30d81025b5e6d46c9abc5

Aliases

arxiv: 1603.00282 · arxiv_version: 1603.00282v1 · doi: 10.48550/arxiv.1603.00282 · pith_short_12: IFKLAHWXHC5N · pith_short_16: IFKLAHWXHC5NRFYQ · pith_short_8: IFKLAHWX

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/IFKLAHWXHC5NRFYQ65AR5Q6Z6G \
  | 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: 4154b01ed738bad89710f7411ec3d9f19696e503ead30d81025b5e6d46c9abc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f7e3105f41d10e1c64298e217ef8d68a065f3cea77e434851a72c19b1c3cb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-01T14:21:51Z",
    "title_canon_sha256": "8190578f0511ec1ba2141d15c0e2de9510a58c7d12708cdb7903045d52f6498c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00282",
    "kind": "arxiv",
    "version": 1
  }
}