Pith Number

pith:3FQFBGLX

pith:2017:3FQFBGLXJQ2HEQLBN2ZNYYSAWD

not attested not anchored not stored refs pending

Further results on the expected hitting time, the cover cost and the related invariants of graphs

Jing Huang, Shuchao Li, Zheng Xie

arxiv:1707.02002 v1 · 2017-07-07 · 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{3FQFBGLXJQ2HEQLBN2ZNYYSAWD}

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	2026-05-18T00:40:45.548183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9605099774c347241616eb2dc6240b0dd2eb3e442a6079a7f48abe211f23164

Aliases

arxiv: 1707.02002 · arxiv_version: 1707.02002v1 · doi: 10.48550/arxiv.1707.02002 · pith_short_12: 3FQFBGLXJQ2H · pith_short_16: 3FQFBGLXJQ2HEQLB · pith_short_8: 3FQFBGLX

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/3FQFBGLXJQ2HEQLBN2ZNYYSAWD \
  | 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: d9605099774c347241616eb2dc6240b0dd2eb3e442a6079a7f48abe211f23164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff10d10799039ee4cddfd91a8135f0fd18aefa7af03679f24d02527b4c5a4745",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-07T00:35:06Z",
    "title_canon_sha256": "e612ce24aa0f9f5c44132f86ea9b279c50803342367f828d9d6cc10bf259027c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02002",
    "kind": "arxiv",
    "version": 1
  }
}