Pith Number

pith:AOEMSREI

pith:2013:AOEMSREIEH77WEXDIRGLGNLMXP

not attested not anchored not stored refs pending

Contracting Boundaries of CAT(0) Spaces

Harold Sultan, Ruth Charney

arxiv:1308.6615 v1 · 2013-08-29 · 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{AOEMSREIEH77WEXDIRGLGNLMXP}

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	2026-05-18T00:47:31.684286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0388c9448821fffb12e3444cb3356cbbca05e1eb414361da6506ce6572c0083c

Aliases

arxiv: 1308.6615 · arxiv_version: 1308.6615v1 · doi: 10.48550/arxiv.1308.6615 · pith_short_12: AOEMSREIEH77 · pith_short_16: AOEMSREIEH77WEXD · pith_short_8: AOEMSREI

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/AOEMSREIEH77WEXDIRGLGNLMXP \
  | 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: 0388c9448821fffb12e3444cb3356cbbca05e1eb414361da6506ce6572c0083c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b766787f3da3de5470bae717be1ca004b86e8b4d8595aacbe142bec83f991bb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-29T21:35:49Z",
    "title_canon_sha256": "7bb8b54b853f72d735565277cfe4764f6295a038cf54f0fc0a5567c0805586d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6615",
    "kind": "arxiv",
    "version": 1
  }
}