Pith Number

pith:PRF4BFH6

pith:2009:PRF4BFH6HPU66ENCPBCKTCY5J5

not attested not anchored not stored refs pending

Ideles in higher dimension

Moritz Kerz

arxiv:0907.5337 v3 · 2009-07-30 · math.NT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRF4BFH6HPU66ENCPBCKTCY5J5}

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	2026-05-18T04:23:13.424279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4bc094fe3be9ef11a27844a98b1d4f4be55f81b1f70f0366ce1b7166401d5a

Aliases

arxiv: 0907.5337 · arxiv_version: 0907.5337v3 · doi: 10.48550/arxiv.0907.5337 · pith_short_12: PRF4BFH6HPU6 · pith_short_16: PRF4BFH6HPU66ENC · pith_short_8: PRF4BFH6

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/PRF4BFH6HPU66ENCPBCKTCY5J5 \
  | 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: 7c4bc094fe3be9ef11a27844a98b1d4f4be55f81b1f70f0366ce1b7166401d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b0ea6e33f7a2b16cb956639ecd50b86782d668fbcae867b75f0c7ac0757644",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-30T13:17:04Z",
    "title_canon_sha256": "138f4caabd2deb2b5a54bf9895868295d14e55d9468ad92e3f358a627da0b76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5337",
    "kind": "arxiv",
    "version": 3
  }
}