Pith Number

pith:7IP72UBP

pith:2026:7IP72UBPINABJYK5PBADNGD7GH

not attested not anchored not stored refs pending

Couplings of $3$-anchored Bundles

Beg\"um Ate\c{s}li, O\u{g}ul Esen, Serkan S\"utl\"u

arxiv:2607.02397 v1 · 2026-07-02 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IP72UBPINABJYK5PBADNGD7GH}

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	2026-07-03T01:17:57.621699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1ffd502f434014e15d784036987f31f03775a883b3b8ae94055cedeaae0838

Aliases

arxiv: 2607.02397 · arxiv_version: 2607.02397v1 · doi: 10.48550/arxiv.2607.02397 · pith_short_12: 7IP72UBPINAB · pith_short_16: 7IP72UBPINABJYK5 · pith_short_8: 7IP72UBP

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/7IP72UBPINABJYK5PBADNGD7GH \
  | 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: fa1ffd502f434014e15d784036987f31f03775a883b3b8ae94055cedeaae0838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60ebed4dfcd90b0af5a7b951696bff14d1caf74040065f6c5fb0a68ce3cd6c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-02T16:32:47Z",
    "title_canon_sha256": "fd5d757819053b7b3b5893525c9cd9531719e2d6d369677196eada642bb2c2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02397",
    "kind": "arxiv",
    "version": 1
  }
}