Pith Number

pith:EAIFXKAP

pith:2006:EAIFXKAPNRFFO6DCYNOQCEVVT5

not attested not anchored not stored refs pending

Covering spheres with spheres

Ilya Dumer

arxiv:math/0606002 v2 · 2006-05-31 · 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{EAIFXKAPNRFFO6DCYNOQCEVVT5}

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	2026-05-18T00:15:31.418764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20105ba80f6c4a577862c35d0112b59f4be66a2d553a4f30be2109830d6e9c5b

Aliases

arxiv: math/0606002 · arxiv_version: math/0606002v2 · doi: 10.48550/arxiv.math/0606002 · pith_short_12: EAIFXKAPNRFF · pith_short_16: EAIFXKAPNRFFO6DC · pith_short_8: EAIFXKAP

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/EAIFXKAPNRFFO6DCYNOQCEVVT5 \
  | 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: 20105ba80f6c4a577862c35d0112b59f4be66a2d553a4f30be2109830d6e9c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a945c713e48e7b95bdf4207ec24f86ca8d8f4d2082375e325a5d828d15ebf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2006-05-31T20:28:16Z",
    "title_canon_sha256": "9f8da8ba999a2d0436fa0e2fac198d66c59617a8c901a6a184ec39f6c8a5a67c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606002",
    "kind": "arxiv",
    "version": 2
  }
}