Pith Number

pith:ZZGHT5LX

pith:2012:ZZGHT5LXIAO2NYWVTG7AH6TGY6

not attested not anchored not stored refs pending

Metric 1-spaces

Ittay Weiss

arxiv:1201.3980 v1 · 2012-01-19 · 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{ZZGHT5LXIAO2NYWVTG7AH6TGY6}

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	2026-05-18T04:04:16.286479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4c79f577401da6e2d599be03fa66c7aa84a22c08ec67899ef79b04a748e8ba

Aliases

arxiv: 1201.3980 · arxiv_version: 1201.3980v1 · doi: 10.48550/arxiv.1201.3980 · pith_short_12: ZZGHT5LXIAO2 · pith_short_16: ZZGHT5LXIAO2NYWV · pith_short_8: ZZGHT5LX

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/ZZGHT5LXIAO2NYWVTG7AH6TGY6 \
  | 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: ce4c79f577401da6e2d599be03fa66c7aa84a22c08ec67899ef79b04a748e8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7230193dfc6586d55ef2d88eb2cdbd8347a32c8cb556ec8c61c21230ad763a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-01-19T07:09:59Z",
    "title_canon_sha256": "6812167d4a745bff81249ec9672ea65660f0831a6e70412f474863a7acbcc784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3980",
    "kind": "arxiv",
    "version": 1
  }
}