Pith Number

pith:UT5CWFNY

pith:2003:UT5CWFNY77AZZABHR4E4LIOEZ2

not attested not anchored not stored refs pending

Waiting for a bat to fly by (in polynomial time)

Dan Romik, Gabor Tardos, Gady Kozma, Itai Benjamini, Laszlo Lovasz

arxiv:math/0310435 v1 · 2003-10-28 · math.PR · 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{UT5CWFNY77AZZABHR4E4LIOEZ2}

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	2026-07-04T14:37:50.146083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4fa2b15b8ffc19c80278f09c5a1c4ceb801b0e81c03f0513d743d1b556bf744

Aliases

arxiv: math/0310435 · arxiv_version: math/0310435v1 · doi: 10.48550/arxiv.math/0310435 · pith_short_12: UT5CWFNY77AZ · pith_short_16: UT5CWFNY77AZZABH · pith_short_8: UT5CWFNY

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/UT5CWFNY77AZZABHR4E4LIOEZ2 \
  | 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: a4fa2b15b8ffc19c80278f09c5a1c4ceb801b0e81c03f0513d743d1b556bf744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be39d1ab151b463208041ec644d0a79d861e3c3b62599905fa247b9ee0bb760",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-10-28T12:16:08Z",
    "title_canon_sha256": "b61ed8dc9d61b874ee38cf89536c4ca623557c1409fa4927fdd744cc63451481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310435",
    "kind": "arxiv",
    "version": 1
  }
}