Pith Number

pith:PJBCDF2J

pith:2017:PJBCDF2JHZFVSYMKQE3QHHAICN

not attested not anchored not stored refs pending

L-infinity optimization to linear spaces and phylogenetic trees

Colby Long, Daniel Irving Bernstein

arxiv:1702.05127 v1 · 2017-02-16 · 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{PJBCDF2JHZFVSYMKQE3QHHAICN}

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	2026-05-18T00:50:34.806183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a422197493e4b59618a8137039c081369343c6981aade10f678bd32af99a24d

Aliases

arxiv: 1702.05127 · arxiv_version: 1702.05127v1 · doi: 10.48550/arxiv.1702.05127 · pith_short_12: PJBCDF2JHZFV · pith_short_16: PJBCDF2JHZFVSYMK · pith_short_8: PJBCDF2J

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/PJBCDF2JHZFVSYMKQE3QHHAICN \
  | 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: 7a422197493e4b59618a8137039c081369343c6981aade10f678bd32af99a24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e95ab803c191b6c52c89c694b3dd03a83743863ab40bf5478a57164321f5a611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-16T19:43:58Z",
    "title_canon_sha256": "b0951e244372c57ab212f102d73195131ccdabcf83abef4a0272970aec823efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05127",
    "kind": "arxiv",
    "version": 1
  }
}