Pith Number

pith:5RKS4BL6

pith:2016:5RKS4BL6BMTLSSWPY6EHSWBGW3

not attested not anchored not stored refs pending

Center, centroid and subtree core of trees

Dheer Noal Sunil Desai, Kamal Lochan Patra

arxiv:1612.02642 v1 · 2016-12-08 · 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{5RKS4BL6BMTLSSWPY6EHSWBGW3}

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	2026-05-18T00:55:33.193989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec552e057e0b26b94acfc788795826b6e68aa5b375df91adf5589201171bff1b

Aliases

arxiv: 1612.02642 · arxiv_version: 1612.02642v1 · doi: 10.48550/arxiv.1612.02642 · pith_short_12: 5RKS4BL6BMTL · pith_short_16: 5RKS4BL6BMTLSSWP · pith_short_8: 5RKS4BL6

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/5RKS4BL6BMTLSSWPY6EHSWBGW3 \
  | 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: ec552e057e0b26b94acfc788795826b6e68aa5b375df91adf5589201171bff1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229ef7f767a882264c35463cfe0d53b7fe18a8439d13491e30151e5745ff5235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-08T13:45:54Z",
    "title_canon_sha256": "855592006d269ec79360b78f9dd51e43023f80aa442de1dab342c35d7d228e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02642",
    "kind": "arxiv",
    "version": 1
  }
}