Pith Number

pith:Q2ECLBGK

pith:2009:Q2ECLBGKP3NKVCXI5DQ7WAKRDD

not attested not anchored not stored refs pending

Cascades of e-invisibility

Denis Volk, Yulij Ilyashenko

arxiv:0906.3567 v4 · 2009-06-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2ECLBGKP3NKVCXI5DQ7WAKRDD}

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	2026-05-18T03:48:46.792421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86882584ca7edaaa8ae8e8e1fb015118cef74ed12ad17f5674781cd8b5e51df3

Aliases

arxiv: 0906.3567 · arxiv_version: 0906.3567v4 · doi: 10.48550/arxiv.0906.3567 · pith_short_12: Q2ECLBGKP3NK · pith_short_16: Q2ECLBGKP3NKVCXI · pith_short_8: Q2ECLBGK

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/Q2ECLBGKP3NKVCXI5DQ7WAKRDD \
  | 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: 86882584ca7edaaa8ae8e8e1fb015118cef74ed12ad17f5674781cd8b5e51df3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b329ba16c7f6f92ba799badada29e54359577dfb29a9737d681b4f2ec342e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-06-19T14:50:05Z",
    "title_canon_sha256": "31879f559eeb9f3d142777ad15ced7cfb4ee79f4e002d05ece581f1283edbfe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3567",
    "kind": "arxiv",
    "version": 4
  }
}