Pith Number

pith:XPAEFM6B

pith:2008:XPAEFM6B6LH2IIWJPAWEC6O5G7

not attested not anchored not stored refs pending

A gap principle for dynamics

Dragos Ghioca, Par Kurlberg, Robert L. Benedetto, Thomas J. Tucker

arxiv:0810.1086 v1 · 2008-10-07 · math.NT · 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{XPAEFM6B6LH2IIWJPAWEC6O5G7}

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	2026-05-17T23:53:20.130093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc042b3c1f2cfa422c9782c4179dd37eaf2f572cbf14c37ff7effe30065d6e2

Aliases

arxiv: 0810.1086 · arxiv_version: 0810.1086v1 · doi: 10.48550/arxiv.0810.1086 · pith_short_12: XPAEFM6B6LH2 · pith_short_16: XPAEFM6B6LH2IIWJ · pith_short_8: XPAEFM6B

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/XPAEFM6B6LH2IIWJPAWEC6O5G7 \
  | 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: bbc042b3c1f2cfa422c9782c4179dd37eaf2f572cbf14c37ff7effe30065d6e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f352acf8606b8463c54e4e2f8c832c4da290fef055b6fe6763906f34a5c2cd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-10-07T02:38:12Z",
    "title_canon_sha256": "c3a0cf613b5f4b0434a78172776dcc6cd9de515eb31399e332f68d22078901af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1086",
    "kind": "arxiv",
    "version": 1
  }
}