Pith Number

pith:EOICBKQO

pith:2007:EOICBKQOOFXV3NNDZC7MUI4DQW

not attested not anchored not stored refs pending

Uniform bounds on growth in o-minimal structures

Janak Ramakrishnan

arxiv:math/0703776 v4 · 2007-03-27 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOICBKQOOFXV3NNDZC7MUI4DQW}

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	2026-05-18T04:23:35.368333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

239020aa0e716f5db5a3c8beca2383858d871ade9138c50957fecfc5feededab

Aliases

arxiv: math/0703776 · arxiv_version: math/0703776v4 · doi: 10.48550/arxiv.math/0703776 · pith_short_12: EOICBKQOOFXV · pith_short_16: EOICBKQOOFXV3NND · pith_short_8: EOICBKQO

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/EOICBKQOOFXV3NNDZC7MUI4DQW \
  | 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: 239020aa0e716f5db5a3c8beca2383858d871ade9138c50957fecfc5feededab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "571654bf127f50408b16b168e7f4d3807706c519098acfa5d88696fd6d78bcb7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2007-03-27T01:07:43Z",
    "title_canon_sha256": "64f882b88058f7b80cd7f6b225906b5b3838d221f7c85127ab0fa629bedbfcd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703776",
    "kind": "arxiv",
    "version": 4
  }
}