Pith Number

pith:VGTONOON

pith:2007:VGTONOONM23TIROKTKT44Q5SJI

not attested not anchored not stored refs pending

Stable norms of non-orientable surfaces

Daniel Massart (I3M), Florent Balacheff

arxiv:math/0703667 v1 · 2007-03-22 · math.DG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGTONOONM23TIROKTKT44Q5SJI}

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	2026-05-18T02:41:10.488957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a6e6b9cd66b73445ca9aa7ce43b24a170948e4085119050c4c3c465863841d

Aliases

arxiv: math/0703667 · arxiv_version: math/0703667v1 · doi: 10.48550/arxiv.math/0703667 · pith_short_12: VGTONOONM23T · pith_short_16: VGTONOONM23TIROK · pith_short_8: VGTONOON

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/VGTONOONM23TIROKTKT44Q5SJI \
  | 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: a9a6e6b9cd66b73445ca9aa7ce43b24a170948e4085119050c4c3c465863841d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf11d938950134f7ca2b919b66378662daefecb090ed3c64edd5874620300103",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-03-22T14:59:03Z",
    "title_canon_sha256": "2c783549d7d10511012985e4f5ece52cf9d59f9f292b20b2ace77da8df9ecfd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703667",
    "kind": "arxiv",
    "version": 1
  }
}