Pith Number

pith:DTHO6ABY

pith:2015:DTHO6ABYB2NS5RMHZ2FR3J55RE

not attested not anchored not stored refs pending

Two proofs of St{\o}rmer's theorem

Guillaume Aubrun, Stanis{\l}aw J. Szarek

arxiv:1512.03293 v1 · 2015-12-10 · math.FA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTHO6ABYB2NS5RMHZ2FR3J55RE}

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	2026-05-18T01:24:37.472403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cceef00380e9b2ec587ce8b1da7bd8908a0441c48a48e6527721958b318775a

Aliases

arxiv: 1512.03293 · arxiv_version: 1512.03293v1 · doi: 10.48550/arxiv.1512.03293 · pith_short_12: DTHO6ABYB2NS · pith_short_16: DTHO6ABYB2NS5RMH · pith_short_8: DTHO6ABY

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/DTHO6ABYB2NS5RMHZ2FR3J55RE \
  | 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: 1cceef00380e9b2ec587ce8b1da7bd8908a0441c48a48e6527721958b318775a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d557cd3e69bab24937ba3191b7dbde1b3c9362acf99e5cc31065834620ca0e",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-10T15:51:41Z",
    "title_canon_sha256": "c3ef625de84fcb4099fc66aefc06a2a2a88bfd5f3e35a2c2624a6b3da8dfb986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03293",
    "kind": "arxiv",
    "version": 1
  }
}