Pith Number

pith:ZQ2J2Z4R

pith:2011:ZQ2J2Z4RBCFPQVEGSZ55IYC64S

not attested not anchored not stored refs pending

Constant curvature hyperspheres and the Euler Characteristic

Graham Smith

arxiv:1103.3235 v1 · 2011-03-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQ2J2Z4RBCFPQVEGSZ55IYC64S}

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	2026-05-18T04:26:44.553731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc349d6791088af85486967bd4605ee499af07296b07e3bd8a4a31d42c4b1779

Aliases

arxiv: 1103.3235 · arxiv_version: 1103.3235v1 · doi: 10.48550/arxiv.1103.3235 · pith_short_12: ZQ2J2Z4RBCFP · pith_short_16: ZQ2J2Z4RBCFPQVEG · pith_short_8: ZQ2J2Z4R

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/ZQ2J2Z4RBCFPQVEGSZ55IYC64S \
  | 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: cc349d6791088af85486967bd4605ee499af07296b07e3bd8a4a31d42c4b1779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8be2c65a4a4e7abf208df6f5a643793e870b7d0397fa334eb82e3fb8a54e1c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-16T17:19:27Z",
    "title_canon_sha256": "e09d063320dd56a8c75aa3b092519781a9b482376d1eb9ad3b31d0ed2a68efc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3235",
    "kind": "arxiv",
    "version": 1
  }
}