Pith Number

pith:JSSWWFHQ

pith:2021:JSSWWFHQDNDQ3BCFYZDSNSSGVL

not attested not anchored not stored refs pending

Notes on trace equivalence

Erik Walsberg

arxiv:2101.12194 v3 · 2021-01-28 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSSWWFHQDNDQ3BCFYZDSNSSGVL}

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	2026-07-05T04:12:00.821501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ca56b14f01b470d8445c64726ca46aaf3d379e942fa808617e27ccac7c2cad6

Aliases

arxiv: 2101.12194 · arxiv_version: 2101.12194v3 · doi: 10.48550/arxiv.2101.12194 · pith_short_12: JSSWWFHQDNDQ · pith_short_16: JSSWWFHQDNDQ3BCF · pith_short_8: JSSWWFHQ

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/JSSWWFHQDNDQ3BCFYZDSNSSGVL \
  | 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: 4ca56b14f01b470d8445c64726ca46aaf3d379e942fa808617e27ccac7c2cad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b031b185ca5ebebae81c1c5287c4180e93e9bdb51798dfaae95c4bf8defa5e69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-01-28T18:55:48Z",
    "title_canon_sha256": "4e7c5f54e690b778e8b7a6d417b64225ab7555ea7ec6a083376fa7ec739a72d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.12194",
    "kind": "arxiv",
    "version": 3
  }
}