Pith Number

pith:CRG3VEW3

pith:2026:CRG3VEW3ATIGABP2OBPWRM3TK7

not attested not anchored not stored refs pending

The $\mu$-Trace System

Daniel Barlet (UL, IECL, IUF)

arxiv:2605.31019 v1 · 2026-05-29 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRG3VEW3ATIGABP2OBPWRM3TK7}

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	2026-06-01T01:03:31.005948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

144dba92db04d06005fa705f68b37357efda88d38ca2c6ee897cf242531f519d

Aliases

arxiv: 2605.31019 · arxiv_version: 2605.31019v1 · doi: 10.48550/arxiv.2605.31019 · pith_short_12: CRG3VEW3ATIG · pith_short_16: CRG3VEW3ATIGABP2 · pith_short_8: CRG3VEW3

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/CRG3VEW3ATIGABP2OBPWRM3TK7 \
  | 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: 144dba92db04d06005fa705f68b37357efda88d38ca2c6ee897cf242531f519d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e105b2a63d8b23dc80a2267b974a2a8706ffaa403a4f4caf8eb018e9b1043116",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-29T08:53:11Z",
    "title_canon_sha256": "ceaeb2612d1f76b4d3f8b8067fb3abfcfe5bc914785708296b837e5dc036186f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31019",
    "kind": "arxiv",
    "version": 1
  }
}