Pith Number

pith:XMRKAZA2

pith:2012:XMRKAZA2SYJGU62OMY67FVX36G

not attested not anchored not stored refs pending

The Finsler surface with K=0 and J=0

Linfeng Zhou

arxiv:1209.5555 v1 · 2012-09-25 · 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{XMRKAZA2SYJGU62OMY67FVX36G}

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	2026-05-18T03:44:48.204965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb22a0641a96126a7b4e663df2d6fbf1b13e7459defc20be7a816f778d67929d

Aliases

arxiv: 1209.5555 · arxiv_version: 1209.5555v1 · doi: 10.48550/arxiv.1209.5555 · pith_short_12: XMRKAZA2SYJG · pith_short_16: XMRKAZA2SYJGU62O · pith_short_8: XMRKAZA2

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/XMRKAZA2SYJGU62OMY67FVX36G \
  | 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: bb22a0641a96126a7b4e663df2d6fbf1b13e7459defc20be7a816f778d67929d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b77d2f9085919c56840fafc2b014b72600a615ce4927c722c24c5626c36a746",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-25T09:43:59Z",
    "title_canon_sha256": "b771b0358fa8c10bdba13951cbe8b5bd20778c4fbcbc8b74e6928de30c340030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5555",
    "kind": "arxiv",
    "version": 1
  }
}