Pith Number

pith:NHLYCCXE

pith:2013:NHLYCCXEP5I4NLXL2FLUHIQRCS

not attested not anchored not stored refs pending

On Milgram's construction and the Duke embedding conjectures

Timothy Sun

arxiv:1303.2304 v2 · 2013-03-10 · 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{NHLYCCXEP5I4NLXL2FLUHIQRCS}

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	2026-05-18T03:27:42.476002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69d7810ae47f51c6aeebd15743a21114a7bf9d4f3bcf4291b212784aa1f1c147

Aliases

arxiv: 1303.2304 · arxiv_version: 1303.2304v2 · doi: 10.48550/arxiv.1303.2304 · pith_short_12: NHLYCCXEP5I4 · pith_short_16: NHLYCCXEP5I4NLXL · pith_short_8: NHLYCCXE

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/NHLYCCXEP5I4NLXL2FLUHIQRCS \
  | 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: 69d7810ae47f51c6aeebd15743a21114a7bf9d4f3bcf4291b212784aa1f1c147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f93a001a45c98e00d8d4912559f02f56d8411c9b660d2ee3ba95e647fd8078d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-10T10:04:00Z",
    "title_canon_sha256": "2a02c86b4af5ee0ac9e6a2fc002cd3879526f42b3ab5e5158555b7a19a7afe2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2304",
    "kind": "arxiv",
    "version": 2
  }
}