Pith Number

pith:ENORJVXH

pith:2021:ENORJVXH5PLSVR4L27RJRO7D5Y

not attested not anchored not stored refs pending

Four flavours, triality and bimodular forms

Elias Furrer, Jan Manschot, Johannes Aspman

arxiv:2110.11969 v2 · 2021-10-22 · hep-th · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENORJVXH5PLSVR4L27RJRO7D5Y}

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	2026-07-05T03:55:03.877960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

235d14d6e7ebd72ac78bd7e298bbe3ee19f7b35342d513d69071308146e36e8f

Aliases

arxiv: 2110.11969 · arxiv_version: 2110.11969v2 · doi: 10.48550/arxiv.2110.11969 · pith_short_12: ENORJVXH5PLS · pith_short_16: ENORJVXH5PLSVR4L · pith_short_8: ENORJVXH

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/ENORJVXH5PLSVR4L27RJRO7D5Y \
  | 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: 235d14d6e7ebd72ac78bd7e298bbe3ee19f7b35342d513d69071308146e36e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d76862d8f72f72fd3ef4c81bfee2e052f7b02658e5fe656730c94a20ede452",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-10-22T18:00:01Z",
    "title_canon_sha256": "719180909977555fcfd409144481ba783ec836911976e21dc9726ca6013ba2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.11969",
    "kind": "arxiv",
    "version": 2
  }
}