Pith Number

pith:B6IIHINS

pith:2010:B6IIHINSAHDXHAJARXYEVEA7MQ

not attested not anchored not stored refs pending

CAT(0) spaces on which a certain type of singularity is bounded

Tetsu Toyoda

arxiv:1010.1963 v2 · 2010-10-10 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6IIHINSAHDXHAJARXYEVEA7MQ}

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	2026-05-18T04:36:51.055216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f9083a1b201c77381208df04a901f642f93a4485e0f56eaa503664a897e1dba

Aliases

arxiv: 1010.1963 · arxiv_version: 1010.1963v2 · doi: 10.48550/arxiv.1010.1963 · pith_short_12: B6IIHINSAHDX · pith_short_16: B6IIHINSAHDXHAJA · pith_short_8: B6IIHINS

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/B6IIHINSAHDXHAJARXYEVEA7MQ \
  | 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: 0f9083a1b201c77381208df04a901f642f93a4485e0f56eaa503664a897e1dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c461ce97b7925e6fa975285be7178df25cf1a1cbd53f4e1591057daadf6c6761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-10-10T20:24:35Z",
    "title_canon_sha256": "3ac4c15aaf08431d201b36aa8d4c8325f28020cb12bda29b546013211364f36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1963",
    "kind": "arxiv",
    "version": 2
  }
}