Pith Number

pith:W2ZEB5SU

pith:2015:W2ZEB5SUSA2VYRTCLHDER2QDWC

not attested not anchored not stored refs pending

Increasing paths in edge-ordered graphs: the hypercube and random graphs

Florian Pfender, Jessica De Silva, Michael Tait, Theodore Molla, Troy Retter

arxiv:1502.03146 v1 · 2015-02-10 · 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{W2ZEB5SUSA2VYRTCLHDER2QDWC}

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	2026-05-18T02:27:20.425848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b240f65490355c466259c648ea03b0a9ae5af613e7a4c49a7e90b2758ae8ff

Aliases

arxiv: 1502.03146 · arxiv_version: 1502.03146v1 · doi: 10.48550/arxiv.1502.03146 · pith_short_12: W2ZEB5SUSA2V · pith_short_16: W2ZEB5SUSA2VYRTC · pith_short_8: W2ZEB5SU

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/W2ZEB5SUSA2VYRTCLHDER2QDWC \
  | 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: b6b240f65490355c466259c648ea03b0a9ae5af613e7a4c49a7e90b2758ae8ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f1766cbb6b708f901d32972c88310afca3a65a8cc1c6d1fe5092a616640a27d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-10T23:09:08Z",
    "title_canon_sha256": "418d9e1dfc5e807108aa40e336c5cb92311a8052f80078a0053b75f896d64d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03146",
    "kind": "arxiv",
    "version": 1
  }
}