Pith Number

pith:RMEDJYPY

pith:2026:RMEDJYPYVBD3QPHNVV7M3KTHXC

not attested not anchored not stored refs pending

Algebraic Networks and Architectural Degenerations

Giacomo Graziani

arxiv:2606.18440 v1 · 2026-06-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMEDJYPYVBD3QPHNVV7M3KTHXC}

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	2026-06-19T16:11:01.249378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b0834e1f8a847b83cedad7ecdaa67b89feafeb6fc17199c147c15c9c25e89c1

Aliases

arxiv: 2606.18440 · arxiv_version: 2606.18440v1 · doi: 10.48550/arxiv.2606.18440 · pith_short_12: RMEDJYPYVBD3 · pith_short_16: RMEDJYPYVBD3QPHN · pith_short_8: RMEDJYPY

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/RMEDJYPYVBD3QPHNVV7M3KTHXC \
  | 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: 8b0834e1f8a847b83cedad7ecdaa67b89feafeb6fc17199c147c15c9c25e89c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c9ee4594e0cf4ed270537b67f694b70845fce5785c0b80df31123985690fb8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-16T19:41:33Z",
    "title_canon_sha256": "e47413e65339383d84d8f40555c0bb371a8fd1834a3c844bfecfb759d40bfb74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18440",
    "kind": "arxiv",
    "version": 1
  }
}