Pith Number

pith:SS7YJ6CE

pith:2010:SS7YJ6CEMGACMP2V3X3S2GRJGY

not attested not anchored not stored refs pending

Spiders in random environment

Christophe Gallesco, Marina Vachkovskaia, Sebastian Muller, Serguei Popov

arxiv:1001.2533 v3 · 2010-01-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SS7YJ6CEMGACMP2V3X3S2GRJGY}

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	2026-05-18T02:24:45.073445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94bf84f8446180263f55ddf72d1a29363bdc409a87d9a4f1ca9fb11eacb84493

Aliases

arxiv: 1001.2533 · arxiv_version: 1001.2533v3 · doi: 10.48550/arxiv.1001.2533 · pith_short_12: SS7YJ6CEMGAC · pith_short_16: SS7YJ6CEMGACMP2V · pith_short_8: SS7YJ6CE

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/SS7YJ6CEMGACMP2V3X3S2GRJGY \
  | 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: 94bf84f8446180263f55ddf72d1a29363bdc409a87d9a4f1ca9fb11eacb84493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c0129b9a6a4e3b6d4b304d85034e29d728a8ab80c484a3d752650b4fa08b74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-14T19:10:02Z",
    "title_canon_sha256": "b23307fc7a91b859e6461299f696a793bab2dfe06018d330e5305d220c6a5d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2533",
    "kind": "arxiv",
    "version": 3
  }
}