Pith Number

pith:AXAS25SH

pith:2004:AXAS25SHVJZUEIIHMRCY4QBCR5

not attested not anchored not stored refs pending

How much sweetness is there in the universe?

Andrzej Roslanowski, Saharon Shelah

arxiv:math/0406612 v2 · 2004-06-29 · 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{AXAS25SHVJZUEIIHMRCY4QBCR5}

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	2026-05-18T03:37:19.401829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c12d7647aa7342210764458e40228f44b4ad03325c9f73cbe307f7bb4ff05d

Aliases

arxiv: math/0406612 · arxiv_version: math/0406612v2 · doi: 10.48550/arxiv.math/0406612 · pith_short_12: AXAS25SHVJZU · pith_short_16: AXAS25SHVJZUEIIH · pith_short_8: AXAS25SH

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/AXAS25SHVJZUEIIHMRCY4QBCR5 \
  | 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: 05c12d7647aa7342210764458e40228f44b4ad03325c9f73cbe307f7bb4ff05d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981172f1c33e6ce5aeb93a86a2c655b75c209fcbc9437d76a90d45467e924d6d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2004-06-29T22:48:33Z",
    "title_canon_sha256": "9535c7c36b4d303f00ad4553348cf929d66228574044dfce1ece7d88c225959f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406612",
    "kind": "arxiv",
    "version": 2
  }
}