Pith Number

pith:EMCEGTV3

pith:2006:EMCEGTV3I2WNMAOC2YAI5M36X3

not attested not anchored not stored refs pending

Homological connectivity of random k-dimensional complexes

N. Wallach, R. Meshulam

arxiv:math/0609773 v1 · 2006-09-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMCEGTV3I2WNMAOC2YAI5M36X3}

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.

Cited by

1 paper in Pith

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom

Receipt and verification

First computed	2026-07-04T14:56:36.857629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2304434ebb46acd601c2d6008eb37ebec76c0a047194ee8757783a29a3ae6468

Aliases

arxiv: math/0609773 · arxiv_version: math/0609773v1 · doi: 10.48550/arxiv.math/0609773 · pith_short_12: EMCEGTV3I2WN · pith_short_16: EMCEGTV3I2WNMAOC · pith_short_8: EMCEGTV3

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/EMCEGTV3I2WNMAOC2YAI5M36X3 \
  | 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: 2304434ebb46acd601c2d6008eb37ebec76c0a047194ee8757783a29a3ae6468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e3295722604b357e3ab9c99f981c0d6b10206e5115c15a4d8dcf072a9a8e482",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-09-27T21:05:16Z",
    "title_canon_sha256": "aa1ff803056a81975f83ac766656c05fb9d9a1e053b9a211958dd7adf01780aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609773",
    "kind": "arxiv",
    "version": 1
  }
}