Pith Number

pith:7QQ7CW6M

pith:2009:7QQ7CW6MGO2K5QBJU5BHZSRVUK

not attested not anchored not stored refs pending

Symmetric roots and admissible pairing

Robin de Jong

arxiv:0906.2112 v3 · 2009-06-11 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QQ7CW6MGO2K5QBJU5BHZSRVUK}

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	2026-05-18T03:59:12.474513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc21f15bcc33b4aec029a7427cca35a2a22d60d1a02b6688787a800aebef7855

Aliases

arxiv: 0906.2112 · arxiv_version: 0906.2112v3 · doi: 10.48550/arxiv.0906.2112 · pith_short_12: 7QQ7CW6MGO2K · pith_short_16: 7QQ7CW6MGO2K5QBJ · pith_short_8: 7QQ7CW6M

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/7QQ7CW6MGO2K5QBJU5BHZSRVUK \
  | 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: fc21f15bcc33b4aec029a7427cca35a2a22d60d1a02b6688787a800aebef7855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770fcd1f659c3ac734f09039774287e08a959a28afe9cf58289ab5c66bae9fee",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-11T14:09:14Z",
    "title_canon_sha256": "00d573cb7fc07ba61bac49cfa24e862e4a05c93765687d6289880b8f270bdf0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2112",
    "kind": "arxiv",
    "version": 3
  }
}