Pith Number

pith:IP7JJE5W

pith:2019:IP7JJE5WLGDF5EZHNIVRMKFVDY

not attested not anchored not stored refs pending

Convergence of symmetrization processes

Gabriele Bianchi, Paolo Gronchi, Richard J. Gardner

arxiv:1908.03259 v3 · 2019-08-08 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IP7JJE5WLGDF5EZHNIVRMKFVDY}

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	2026-07-05T04:20:26.777097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43fe9493b659865e93276a2b1628b51e1d2c5a68ef015869b9612854a38369b8

Aliases

arxiv: 1908.03259 · arxiv_version: 1908.03259v3 · doi: 10.48550/arxiv.1908.03259 · pith_short_12: IP7JJE5WLGDF · pith_short_16: IP7JJE5WLGDF5EZH · pith_short_8: IP7JJE5W

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/IP7JJE5WLGDF5EZHNIVRMKFVDY \
  | 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: 43fe9493b659865e93276a2b1628b51e1d2c5a68ef015869b9612854a38369b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04685bc546f9b281878c1c4675c142dbcbca22392ba129201bd373fde3799bb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-08T20:24:53Z",
    "title_canon_sha256": "f023be3bbb6d8001136929232ab057d9f8876492b8a2c0ae047edce5c4fddd15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03259",
    "kind": "arxiv",
    "version": 3
  }
}