Pith Number

pith:3UHBTN3T

pith:2019:3UHBTN3TFWIUHJMRO3WZ6O43DV

not attested not anchored not stored refs pending

Loop interactions and their representations in Fock space

Yves Le Jan

arxiv:1902.05121 v1 · 2019-02-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UHBTN3TFWIUHJMRO3WZ6O43DV}

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	2026-05-17T23:54:01.877858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd0e19b7732d9143a59176ed9f3b9b1d602c3ef96443dcda651a0a988ca62f7b

Aliases

arxiv: 1902.05121 · arxiv_version: 1902.05121v1 · doi: 10.48550/arxiv.1902.05121 · pith_short_12: 3UHBTN3TFWIU · pith_short_16: 3UHBTN3TFWIUHJMR · pith_short_8: 3UHBTN3T

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/3UHBTN3TFWIUHJMRO3WZ6O43DV \
  | 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: dd0e19b7732d9143a59176ed9f3b9b1d602c3ef96443dcda651a0a988ca62f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c72b3f0cf18d7bb2f4fb3287ef903bda66964fb4b5a3172cacc64f4ac55eb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-07T17:57:27Z",
    "title_canon_sha256": "99ce9e2a1296d1bb2d4fefba848eb411edfc6d58c9c2ea86625459a281ae0548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05121",
    "kind": "arxiv",
    "version": 1
  }
}