Pith Number

pith:T3PV6LM6

pith:2026:T3PV6LM6BDTB3X4MMK6K4SGYHB

not attested not anchored not stored refs pending

A correlated refinement of the double double ramification cycle

Ajith Urundolil Kumaran, Francesca Carocci, Thomas Blomme

arxiv:2606.11154 v1 · 2026-06-09 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3PV6LM6BDTB3X4MMK6K4SGYHB}

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	2026-06-10T01:11:14.195814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9edf5f2d9e08e61ddf8c62bcae48d83849fdfbf0eac1f5bed50631206c59c60a

Aliases

arxiv: 2606.11154 · arxiv_version: 2606.11154v1 · doi: 10.48550/arxiv.2606.11154 · pith_short_12: T3PV6LM6BDTB · pith_short_16: T3PV6LM6BDTB3X4M · pith_short_8: T3PV6LM6

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/T3PV6LM6BDTB3X4MMK6K4SGYHB \
  | 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: 9edf5f2d9e08e61ddf8c62bcae48d83849fdfbf0eac1f5bed50631206c59c60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0373ee9767572c63629b56a1fd1f743faea3323378c1990235fad432e7c837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-09T17:39:13Z",
    "title_canon_sha256": "dd650a0ee35a1f64e29fae1f50de9d767a8a267cf68e09c09a85e6aae68d0d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11154",
    "kind": "arxiv",
    "version": 1
  }
}