Pith Number

pith:7J45QOR7

pith:2015:7J45QOR7JKQ75YPVXRNUZID5SQ

not attested not anchored not stored refs pending

On the deleted squares of lens spaces

Kyle Evans-Lee, Nikolai Saveliev

arxiv:1502.03408 v1 · 2015-02-11 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7J45QOR7JKQ75YPVXRNUZID5SQ}

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	2026-05-18T02:27:19.449040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa79d83a3f4aa1fee1f5bc5b4ca07d9411440f7426c81e78290d00013db12068

Aliases

arxiv: 1502.03408 · arxiv_version: 1502.03408v1 · doi: 10.48550/arxiv.1502.03408 · pith_short_12: 7J45QOR7JKQ7 · pith_short_16: 7J45QOR7JKQ75YPV · pith_short_8: 7J45QOR7

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/7J45QOR7JKQ75YPVXRNUZID5SQ \
  | 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: fa79d83a3f4aa1fee1f5bc5b4ca07d9411440f7426c81e78290d00013db12068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f47706ae2f61a371d841e68a7a768f68c18f972916d629fc3c2de56deedca69e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-11T19:18:40Z",
    "title_canon_sha256": "1774e5d7b5a247307778cffbaff529024e8f3f9e0e96e42447297d7169a53859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03408",
    "kind": "arxiv",
    "version": 1
  }
}