Pith Number

pith:TKSQTKP3

pith:2007:TKSQTKP3A5U32EV6V4P6MG3VNU

not attested not anchored not stored refs pending

On the effect of variable identification on the essential arity of functions

Erkko Lehtonen, Miguel Couceiro

arxiv:math/0701332 v1 · 2007-01-11 · 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{TKSQTKP3A5U32EV6V4P6MG3VNU}

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	2026-05-18T00:57:32.341139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa509a9fb0769bd12beaf1fe61b756d0848ce13c2a575c9a879b94c8554fb6d

Aliases

arxiv: math/0701332 · arxiv_version: math/0701332v1 · doi: 10.48550/arxiv.math/0701332 · pith_short_12: TKSQTKP3A5U3 · pith_short_16: TKSQTKP3A5U32EV6 · pith_short_8: TKSQTKP3

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/TKSQTKP3A5U32EV6V4P6MG3VNU \
  | 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: 9aa509a9fb0769bd12beaf1fe61b756d0848ce13c2a575c9a879b94c8554fb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0784ba15b97ca33283a9c8b144f7f068b92d805b10f9582a4393bfec84580b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-01-11T20:37:39Z",
    "title_canon_sha256": "1a408fa255304f7cddbeeee5c18460cd8b058b92ec510ee1bf4957ee459a029f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701332",
    "kind": "arxiv",
    "version": 1
  }
}