Pith Number

pith:LTXC4G5H

pith:2012:LTXC4G5HMOMEDSHVPV6Y76NTAY

not attested not anchored not stored refs pending

A note on static spaces and related problems

Jie Qing, Wei Yuan

arxiv:1212.1438 v1 · 2012-12-06 · 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{LTXC4G5HMOMEDSHVPV6Y76NTAY}

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	2026-05-18T01:52:46.878386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cee2e1ba7639841c8f57d7d8ff9b30631bee5cfd97092a4c431ff37b02589ae

Aliases

arxiv: 1212.1438 · arxiv_version: 1212.1438v1 · doi: 10.48550/arxiv.1212.1438 · pith_short_12: LTXC4G5HMOME · pith_short_16: LTXC4G5HMOMEDSHV · pith_short_8: LTXC4G5H

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/LTXC4G5HMOMEDSHVPV6Y76NTAY \
  | 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: 5cee2e1ba7639841c8f57d7d8ff9b30631bee5cfd97092a4c431ff37b02589ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d5d5b47b7b3563af8f3e4c04fea0429e8d6b5e54454e04ea93b320e520a8ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-06T20:21:22Z",
    "title_canon_sha256": "fc9c3ea480f6ab5aab5fbd4c5c41c2cab60222401c8bcc912e70f33593c3541b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1438",
    "kind": "arxiv",
    "version": 1
  }
}