Pith Number

pith:NH4NB7Q4

pith:2014:NH4NB7Q4SBDO5XBVNJACZDQKWI

not attested not anchored not stored refs pending

Injectivity radius bound and good leaf foliation in 3-manifolds

Li Ma

arxiv:1403.3960 v1 · 2014-03-16 · math.DG

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T02:56:13.071257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f8d0fe1c9046eedc356a402c8e0ab21b4f46f8b9b02c122de2deaa6d5f1699

Aliases

arxiv: 1403.3960 · arxiv_version: 1403.3960v1 · doi: 10.48550/arxiv.1403.3960 · pith_short_12: NH4NB7Q4SBDO · pith_short_16: NH4NB7Q4SBDO5XBV · pith_short_8: NH4NB7Q4

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/NH4NB7Q4SBDO5XBVNJACZDQKWI \
  | 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: 69f8d0fe1c9046eedc356a402c8e0ab21b4f46f8b9b02c122de2deaa6d5f1699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53943554c87072298d978475288701793281904c1fb5010d7465c72491cdeb49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-03-16T20:41:29Z",
    "title_canon_sha256": "cebd50ff0aaade57fc55fb194abae83deed05a2fd3f14902de6e90d72f3cb075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3960",
    "kind": "arxiv",
    "version": 1
  }
}