Pith Number

pith:6CXVNTZF

pith:2012:6CXVNTZF73PGA5MRP5AUDSPWEU

not attested not anchored not stored refs pending

Notes on symmetric spaces

Bogdan Ion, Jonathan Holland

arxiv:1211.4159 v1 · 2012-11-17 · 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{6CXVNTZF73PGA5MRP5AUDSPWEU}

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	2026-05-18T03:40:27.808282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0af56cf25fede6075917f4141c9f6253aeebffc67cbecc949e3bb2e2212fbcc

Aliases

arxiv: 1211.4159 · arxiv_version: 1211.4159v1 · doi: 10.48550/arxiv.1211.4159 · pith_short_12: 6CXVNTZF73PG · pith_short_16: 6CXVNTZF73PGA5MR · pith_short_8: 6CXVNTZF

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/6CXVNTZF73PGA5MRP5AUDSPWEU \
  | 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: f0af56cf25fede6075917f4141c9f6253aeebffc67cbecc949e3bb2e2212fbcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f40ef2871892098080fa78fe9fca742bafcd45753a00ba508d1649638fe95b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-17T20:24:37Z",
    "title_canon_sha256": "797f5ab374826a966f840c7e0a67cea8818822d945f5fe480b84a59c6d8ba0ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4159",
    "kind": "arxiv",
    "version": 1
  }
}