Pith Number

pith:GHQYVU7H

pith:2009:GHQYVU7H5BB5TVNGDVYFMKMLBV

not attested not anchored not stored refs pending

Low functions of reals

Katrin Tent, Martin Ziegler

arxiv:0903.1384 v5 · 2009-03-09 · 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{GHQYVU7H5BB5TVNGDVYFMKMLBV}

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	2026-05-18T04:40:20.669358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e18ad3e7e843d9d5a61d7056298b0d78d148cd267ab0bc16768139e51d102e

Aliases

arxiv: 0903.1384 · arxiv_version: 0903.1384v5 · doi: 10.48550/arxiv.0903.1384 · pith_short_12: GHQYVU7H5BB5 · pith_short_16: GHQYVU7H5BB5TVNG · pith_short_8: GHQYVU7H

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/GHQYVU7H5BB5TVNGDVYFMKMLBV \
  | 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: 31e18ad3e7e843d9d5a61d7056298b0d78d148cd267ab0bc16768139e51d102e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c156cbc8f3acceaf4c767600e118d8a892e95afa6447ec15e9ed7ab1afca747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-03-09T14:50:13Z",
    "title_canon_sha256": "65a90b039bb5d9bc8e01068d312f1a966e6bb10e28907f37c8369aeecc7c5686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1384",
    "kind": "arxiv",
    "version": 5
  }
}