Pith Number

pith:VXUGIXTX

pith:2011:VXUGIXTXRMYBJJ7UDYQIUMITB4

not attested not anchored not stored refs pending

Quota Complexes, Persistant Homology and the Goldbach Conjecture

Jonathan Pakianathan, Troy Winfree

arxiv:1104.4324 v3 · 2011-04-21 · math.AT · math.NT · 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{VXUGIXTXRMYBJJ7UDYQIUMITB4}

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	2026-05-18T04:23:32.390083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade8645e778b3014a7f41e208a31130f253b46b838cff110800b0ea890915e38

Aliases

arxiv: 1104.4324 · arxiv_version: 1104.4324v3 · doi: 10.48550/arxiv.1104.4324 · pith_short_12: VXUGIXTXRMYB · pith_short_16: VXUGIXTXRMYBJJ7U · pith_short_8: VXUGIXTX

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/VXUGIXTXRMYBJJ7UDYQIUMITB4 \
  | 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: ade8645e778b3014a7f41e208a31130f253b46b838cff110800b0ea890915e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c875ba4daf0516d28680e17751fcbb446f3e333c81fb6289350a3493bdb3cf7",
    "cross_cats_sorted": [
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-04-21T18:01:03Z",
    "title_canon_sha256": "dc8d625cfef95ac60909abd79f6f4c010ecec8c7cd90d6b7337601797f6279f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4324",
    "kind": "arxiv",
    "version": 3
  }
}