Pith Number

pith:4Q6NM3JK

pith:2012:4Q6NM3JK6F7FRTZQ6YF27NLQFQ

not attested not anchored not stored refs pending

Monotone functions and maps

Andrei Gabrielov, Nicolai Vorobjov, Saugata Basu

arxiv:1201.0491 v4 · 2012-01-02 · math.LO · math.AG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Q6NM3JK6F7FRTZQ6YF27NLQFQ}

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	2026-05-18T03:28:42.997535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e43cd66d2af17e58cf30f60bafb5702c3c7762ee19aa1519c161163c6d2405fd

Aliases

arxiv: 1201.0491 · arxiv_version: 1201.0491v4 · doi: 10.48550/arxiv.1201.0491 · pith_short_12: 4Q6NM3JK6F7F · pith_short_16: 4Q6NM3JK6F7FRTZQ · pith_short_8: 4Q6NM3JK

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/4Q6NM3JK6F7FRTZQ6YF27NLQFQ \
  | 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: e43cd66d2af17e58cf30f60bafb5702c3c7762ee19aa1519c161163c6d2405fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde1d90cbe23ee04acd5e5c8e5c1f8d98b1b10d60a461d63f5f24d796fc28aaa",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-02T16:49:16Z",
    "title_canon_sha256": "503df460c440b4e6e8058d842ab784fd66da0090e693297d605ce9fbf95d5524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0491",
    "kind": "arxiv",
    "version": 4
  }
}