Pith Number

pith:F5OOAMT5

pith:2022:F5OOAMT5X5AMGBDSCIXPZR2QD7

not attested not anchored not stored refs pending

Networks with complex weights: Green function and power series

Anna Muranova, Wolfgang Woess

arxiv:2201.09085 v1 · 2022-01-22 · math-ph · math.AP · math.CO · 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{F5OOAMT5X5AMGBDSCIXPZR2QD7}

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	2026-06-19T16:11:07.144296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5ce0327dbf40c30472122efcc7501fd117435f31fed8738b33bde19b5b004a

Aliases

arxiv: 2201.09085 · arxiv_version: 2201.09085v1 · doi: 10.48550/arxiv.2201.09085 · pith_short_12: F5OOAMT5X5AM · pith_short_16: F5OOAMT5X5AMGBDS · pith_short_8: F5OOAMT5

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/F5OOAMT5X5AMGBDSCIXPZR2QD7 \
  | 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: 2f5ce0327dbf40c30472122efcc7501fd117435f31fed8738b33bde19b5b004a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb0cb72bfab95df8733df1aa823cd2439c19b28e62f56e23b8711fdc08a6a00",
    "cross_cats_sorted": [
      "math.AP",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-01-22T15:44:10Z",
    "title_canon_sha256": "f112e575ba7092dcd4cf9b406f82ff5ed69b6e3609a0c204c36a3e6cf1ff02df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.09085",
    "kind": "arxiv",
    "version": 1
  }
}