Pith Number

pith:3GU3XW3B

pith:2014:3GU3XW3BKHUR6HELPUJZJICZBI

not attested not anchored not stored refs pending

Degree Monotone Paths

Christina Zarb, Josef Lauri, Yair Caro

arxiv:1405.1812 v1 · 2014-05-08 · 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{3GU3XW3BKHUR6HELPUJZJICZBI}

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	2026-05-18T02:52:22.391808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a9bbdb6151e91f1c8b7d1394a0590a3a4a20ba825920bc2857ca0a534d9fbf

Aliases

arxiv: 1405.1812 · arxiv_version: 1405.1812v1 · doi: 10.48550/arxiv.1405.1812 · pith_short_12: 3GU3XW3BKHUR · pith_short_16: 3GU3XW3BKHUR6HEL · pith_short_8: 3GU3XW3B

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/3GU3XW3BKHUR6HELPUJZJICZBI \
  | 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: d9a9bbdb6151e91f1c8b7d1394a0590a3a4a20ba825920bc2857ca0a534d9fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2671eaee2d6b950ab2c73ef2ad011226e3a12650452cd8de46c6f587a6638192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-08T06:37:12Z",
    "title_canon_sha256": "043dc3975f3ddc939a459d7f8df15c64e89338abde17a78ea7d4d3b4072bbdbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1812",
    "kind": "arxiv",
    "version": 1
  }
}