Pith Number

pith:ZDXG2WNM

pith:2026:ZDXG2WNML473IRVVIUBDTUICOH

not attested not anchored not stored refs pending

Quasi-isometries, contractions, and intersection graphs

Agelos Georgakopoulos, Chiara Molinari

arxiv:2608.10164 v1 · 2026-08-10 · math.CO · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDXG2WNML473IRVVIUBDTUICOH}

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	2026-08-12T00:22:57.309780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ee6d59ac5f3fb446b5450239d10271d203fa057b0fe53a950f5be95f52db11

Aliases

arxiv: 2608.10164 · arxiv_version: 2608.10164v1 · doi: 10.48550/arxiv.2608.10164 · pith_short_12: ZDXG2WNML473 · pith_short_16: ZDXG2WNML473IRVV · pith_short_8: ZDXG2WNM

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/ZDXG2WNML473IRVVIUBDTUICOH \
  | 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: c8ee6d59ac5f3fb446b5450239d10271d203fa057b0fe53a950f5be95f52db11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8714039aefe6049c9e9604de7db5563c156bb265322e7cb2b68610c3672474f0",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-10T19:32:27Z",
    "title_canon_sha256": "42f720e9680c4f419f959d78061417516b91d5e12a3eb265f718575763587f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10164",
    "kind": "arxiv",
    "version": 1
  }
}