Pith Number

pith:BWCABGSM

pith:2017:BWCABGSMFDPUEUKYSSGVWQE4R2

not attested not anchored not stored refs pending

On the double random current nesting field

Hugo Duminil-Copin, Marcin Lis

arxiv:1712.02305 v2 · 2017-12-06 · math-ph · math.MP · 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{BWCABGSMFDPUEUKYSSGVWQE4R2}

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	2026-05-17T23:50:49.376209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d84009a4c28df425158948d5b409c8eb850e04ea8d009204a6429bac33b8cdb

Aliases

arxiv: 1712.02305 · arxiv_version: 1712.02305v2 · doi: 10.48550/arxiv.1712.02305 · pith_short_12: BWCABGSMFDPU · pith_short_16: BWCABGSMFDPUEUKY · pith_short_8: BWCABGSM

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/BWCABGSMFDPUEUKYSSGVWQE4R2 \
  | 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: 0d84009a4c28df425158948d5b409c8eb850e04ea8d009204a6429bac33b8cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2dedc2e38dfa72a31049718a656e6ee4ad9785664a4c685a7dab3098af1dc4b",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-06T17:50:54Z",
    "title_canon_sha256": "68c9a79412c3480c4038e00b710b8990f37cefd1d6e7310ff79c11db1922b807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02305",
    "kind": "arxiv",
    "version": 2
  }
}