Pith Number

pith:776BSTBV

pith:2012:776BSTBVNYEA2PGGACX4DEOAUT

not attested not anchored not stored refs pending

Extremal values on the eccentric distance sum of trees

Meng Zhang, Shuchao Li

arxiv:1207.0083 v1 · 2012-06-30 · 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{776BSTBVNYEA2PGGACX4DEOAUT}

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	2026-05-18T03:52:00.394236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fffc194c356e080d3cc600afc191c0a4c143372f0cbd629a57538b9a5ac7d634

Aliases

arxiv: 1207.0083 · arxiv_version: 1207.0083v1 · doi: 10.48550/arxiv.1207.0083 · pith_short_12: 776BSTBVNYEA · pith_short_16: 776BSTBVNYEA2PGG · pith_short_8: 776BSTBV

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/776BSTBVNYEA2PGGACX4DEOAUT \
  | 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: fffc194c356e080d3cc600afc191c0a4c143372f0cbd629a57538b9a5ac7d634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0326307557c0d10093789b0de190fe874d5326570edf0ac3075ce1ac6141a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-30T12:15:17Z",
    "title_canon_sha256": "6c9e4414bef48f9c17cc56ba1c965a8e180a235e83a0d651befde836424a8842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0083",
    "kind": "arxiv",
    "version": 1
  }
}