Pith Number

pith:J4U37VRT

pith:2026:J4U37VRT526QL3WZVQYR4FQX6O

not attested not anchored not stored refs pending

Why Pure Reasoning is Not Enough: Nature as the Source of Mathematical Innovation

Charanjit S. Jutla, Vimal Sharma

arxiv:2607.04505 v1 · 2026-07-05 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4U37VRT526QL3WZVQYR4FQX6O}

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	2026-07-07T02:19:22.461015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f29bfd633eebd05eed9ac311e1617f3951b9c9ee7622d0df36719ff03772183

Aliases

arxiv: 2607.04505 · arxiv_version: 2607.04505v1 · doi: 10.48550/arxiv.2607.04505 · pith_short_12: J4U37VRT526Q · pith_short_16: J4U37VRT526QL3WZ · pith_short_8: J4U37VRT

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/J4U37VRT526QL3WZVQYR4FQX6O \
  | 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: 4f29bfd633eebd05eed9ac311e1617f3951b9c9ee7622d0df36719ff03772183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a903af23d942d55bfd289d7925f0646686b16180e9c97d915897fd6adf8e835f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-05T21:16:31Z",
    "title_canon_sha256": "c64edefb72f46b550bef17253727e549b45270c01bc505f8c7cff3e06f4a3ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04505",
    "kind": "arxiv",
    "version": 1
  }
}