Pith Number

pith:3S6EUSFO

pith:2007:3S6EUSFOOEBG6Q6TEXMMLBBBN4

not attested not anchored not stored refs pending

Harmonic morphisms on heaven spaces

Paul Baird, Radu Pantilie

arxiv:0709.0672 v1 · 2007-09-05 · 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{3S6EUSFOOEBG6Q6TEXMMLBBBN4}

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	2026-05-18T02:58:12.361757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbc4a48ae71026f43d325d8c584216f3200b841577a326ae9b434dd4599515f

Aliases

arxiv: 0709.0672 · arxiv_version: 0709.0672v1 · doi: 10.48550/arxiv.0709.0672 · pith_short_12: 3S6EUSFOOEBG · pith_short_16: 3S6EUSFOOEBG6Q6T · pith_short_8: 3S6EUSFO

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/3S6EUSFOOEBG6Q6TEXMMLBBBN4 \
  | 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: dcbc4a48ae71026f43d325d8c584216f3200b841577a326ae9b434dd4599515f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e9eab101fec2baa2edcdf5a894e963f0f285709a16e27f14d8dc22bfaa4d9e1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-09-05T15:10:39Z",
    "title_canon_sha256": "a71de1b3d02b5ae06f107912a2e9c6897fc7e6bab280c72aa93aba08d797cefb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0672",
    "kind": "arxiv",
    "version": 1
  }
}