Pith Number

pith:M57LZF5R

pith:2010:M57LZF5RI3I2I5W2UNHBCDEIMQ

not attested not anchored not stored refs pending

The lens space realization problem

Joshua Evan Greene

arxiv:1010.6257 v1 · 2010-10-29 · 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{M57LZF5RI3I2I5W2UNHBCDEIMQ}

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	2026-05-18T04:38:07.219658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677ebc97b146d1a476daa34e110c8864143969969f0fcaded6e1524122da6407

Aliases

arxiv: 1010.6257 · arxiv_version: 1010.6257v1 · doi: 10.48550/arxiv.1010.6257 · pith_short_12: M57LZF5RI3I2 · pith_short_16: M57LZF5RI3I2I5W2 · pith_short_8: M57LZF5R

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/M57LZF5RI3I2I5W2UNHBCDEIMQ \
  | 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: 677ebc97b146d1a476daa34e110c8864143969969f0fcaded6e1524122da6407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036aae6d7159cc5e69dce3069342f4275ef2adedbc1d89006e6d6cdde861961d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-29T16:05:34Z",
    "title_canon_sha256": "3ad2829a877b714f741a6be9311edb7abc58f55dfefb818e0ce1254fdd653b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6257",
    "kind": "arxiv",
    "version": 1
  }
}