Pith Number

pith:A5THMPH6

pith:2026:A5THMPH6UHK6PF3C76WU2UCQTN

not attested not anchored not stored refs pending

Network Realignment Complexes over General Graphs

Fabienne Klatt, Iason Papadopoulos, Marc Raffelsiefen

arxiv:2607.07404 v1 · 2026-07-08 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5THMPH6UHK6PF3C76WU2UCQTN}

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	2026-07-09T01:20:24.100671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0766763cfea1d5e79762ffad4d50509b61b5d1eba845bb1d45ad72bd8b15b672

Aliases

arxiv: 2607.07404 · arxiv_version: 2607.07404v1 · doi: 10.48550/arxiv.2607.07404 · pith_short_12: A5THMPH6UHK6 · pith_short_16: A5THMPH6UHK6PF3C · pith_short_8: A5THMPH6

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/A5THMPH6UHK6PF3C76WU2UCQTN \
  | 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: 0766763cfea1d5e79762ffad4d50509b61b5d1eba845bb1d45ad72bd8b15b672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df71e3381bcdb028ead6fd0db3cc6e823b8de097443f418dc2104391a1ef3d0e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-08T13:38:19Z",
    "title_canon_sha256": "9d4f1b4e14071c4cc221e789c31db6797fb432d8a0127a9230e5d7a83ada5b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07404",
    "kind": "arxiv",
    "version": 1
  }
}