Pith Number

pith:VFPKPZON

pith:2015:VFPKPZON5PAC3GUMXMXKZLFPAB

not attested not anchored not stored refs pending

Some simple problems for the next generations

Alain Haraux (LJLL)

arxiv:1512.06540 v1 · 2015-12-21 · math.AP · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFPKPZON5PAC3GUMXMXKZLFPAB}

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	2026-05-18T01:24:00.261447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95ea7e5cdebc02d9a8cbb2eacacaf007ff8d93cd69026654649b1288d423474

Aliases

arxiv: 1512.06540 · arxiv_version: 1512.06540v1 · doi: 10.48550/arxiv.1512.06540 · pith_short_12: VFPKPZON5PAC · pith_short_16: VFPKPZON5PAC3GUM · pith_short_8: VFPKPZON

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/VFPKPZON5PAC3GUMXMXKZLFPAB \
  | 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: a95ea7e5cdebc02d9a8cbb2eacacaf007ff8d93cd69026654649b1288d423474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431a4ff95481f6abe9a2fa0c661f820d51f6a3cdda550d9705b508e73679ff55",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-21T09:32:51Z",
    "title_canon_sha256": "db317aaab63d7034ae9075bb77aa8420bdbb772333870fb9dcd8c601fc623f59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06540",
    "kind": "arxiv",
    "version": 1
  }
}