Pith Number

pith:SFR5GOOH

pith:2014:SFR5GOOHHPUBAZN27MHIKLXJKS

not attested not anchored not stored refs pending

Ends of unimodular random manifolds

Ian Biringer, Jean Raimbault

arxiv:1411.0561 v2 · 2014-11-03 · math.GT · 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{SFR5GOOHHPUBAZN27MHIKLXJKS}

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	2026-05-18T01:11:35.420152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9163d339c73be81065bafb0e852ee954bf2234c01bfc5bced3bddf160a0bb308

Aliases

arxiv: 1411.0561 · arxiv_version: 1411.0561v2 · doi: 10.48550/arxiv.1411.0561 · pith_short_12: SFR5GOOHHPUB · pith_short_16: SFR5GOOHHPUBAZN2 · pith_short_8: SFR5GOOH

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/SFR5GOOHHPUBAZN27MHIKLXJKS \
  | 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: 9163d339c73be81065bafb0e852ee954bf2234c01bfc5bced3bddf160a0bb308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7537fa7cfc8f860f672a0d27bd92c88980c7d47e038f19cd98a0fcd34d6d40fe",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-03T16:58:44Z",
    "title_canon_sha256": "28344b5de3dac626024fa77bf54e0722afbcf07ba948adfe1d256fd856bea422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0561",
    "kind": "arxiv",
    "version": 2
  }
}