Pith Number

pith:7OH6EWTP

pith:2010:7OH6EWTPFHV6A7LNPSYIRTP5OO

not attested not anchored not stored refs pending

Even order periodic operators on the real line

Andrey Badanin, Evgeny Korotyaev

arxiv:1010.1223 v1 · 2010-10-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OH6EWTPFHV6A7LNPSYIRTP5OO}

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	2026-05-18T04:39:49.587039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8fe25a6f29ebe07d6d7cb088cdfd73ad0531e6610dffa7b0d94bc617676b60

Aliases

arxiv: 1010.1223 · arxiv_version: 1010.1223v1 · doi: 10.48550/arxiv.1010.1223 · pith_short_12: 7OH6EWTPFHV6 · pith_short_16: 7OH6EWTPFHV6A7LN · pith_short_8: 7OH6EWTP

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/7OH6EWTPFHV6A7LNPSYIRTP5OO \
  | 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: fb8fe25a6f29ebe07d6d7cb088cdfd73ad0531e6610dffa7b0d94bc617676b60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf143180175a3581f83fbbcc3d559e6f4e02582f91d57489213dfca6f81c83d3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-06T18:35:27Z",
    "title_canon_sha256": "c04f2f67e39714e04d76a3b4316bd2145c538ad7ff05d065b68a4ad21509e42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1223",
    "kind": "arxiv",
    "version": 1
  }
}