Pith Number

pith:B57DFTKB

pith:2024:B57DFTKBFSU52FQNJZAZWBUVJ6

not attested not anchored not stored refs pending

Recurrence and transience for non-Archimedean and directed graphs

Anna Muranova, Matthias Keller

arxiv:2406.17344 v1 · 2024-06-25 · math.CO · math-ph · math.AP · math.MP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B57DFTKBFSU52FQNJZAZWBUVJ6}

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	2026-06-19T16:11:08.483650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f7e32cd412ca9dd160d4e419b06954f9f3b0e7ac9789d00575b689c4f2cf743

Aliases

arxiv: 2406.17344 · arxiv_version: 2406.17344v1 · doi: 10.48550/arxiv.2406.17344 · pith_short_12: B57DFTKBFSU5 · pith_short_16: B57DFTKBFSU52FQN · pith_short_8: B57DFTKB

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/B57DFTKBFSU52FQNJZAZWBUVJ6 \
  | 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: 0f7e32cd412ca9dd160d4e419b06954f9f3b0e7ac9789d00575b689c4f2cf743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8616ce52732209aff2d788fe36eaf4f8bf83c57a1de52283fac380ed996600ed",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-25T07:58:30Z",
    "title_canon_sha256": "c1338023ed77bb74695de81b9a1b67a1c8bb0d8f5971251f3daea74f8797412a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.17344",
    "kind": "arxiv",
    "version": 1
  }
}