Pith Number

pith:B6QS35GF

pith:2019:B6QS35GFDCEDPINRZS6GEA4NRU

not attested not anchored not stored refs pending

Average Gromov hyperbolicity and the Parisi ansatz

Leila Sloman, Sourav Chatterjee

arxiv:1907.03203 v6 · 2019-07-06 · math.PR · math-ph · math.CO · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6QS35GFDCEDPINRZS6GEA4NRU}

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	2026-07-05T01:38:14.957816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa12df4c5188837a1b1ccbc62038d8d3babe3a532f2c17388b0c44448aa162b

Aliases

arxiv: 1907.03203 · arxiv_version: 1907.03203v6 · doi: 10.48550/arxiv.1907.03203 · pith_short_12: B6QS35GFDCED · pith_short_16: B6QS35GFDCEDPINR · pith_short_8: B6QS35GF

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/B6QS35GFDCEDPINRZS6GEA4NRU \
  | 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: 0fa12df4c5188837a1b1ccbc62038d8d3babe3a532f2c17388b0c44448aa162b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a097e20f5773692bf7d06f23a4d4560a9c6d3013d6d978b6d17dcb05e51a35a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-06T23:20:59Z",
    "title_canon_sha256": "61d264bfb82d228028dc015edd28c60ed233e3f02346f722d1696eb4ba64855c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03203",
    "kind": "arxiv",
    "version": 6
  }
}