Pith Number

pith:75VMPFAZ

pith:2007:75VMPFAZB5OIPLTSDSEFVNFU5C

not attested not anchored not stored refs pending

Spaces of locally convex curves in S^n and combinatorics of the group B_{n+1}

Boris Shapiro, Nicolau C. Saldanha

arxiv:math/0703803 v2 · 2007-03-27 · 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{75VMPFAZB5OIPLTSDSEFVNFU5C}

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	2026-05-18T04:05:05.552142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6ac794190f5c87ae721c885ab4b4e8ad96109cbed4912a18641c7fa3bdf74b

Aliases

arxiv: math/0703803 · arxiv_version: math/0703803v2 · doi: 10.48550/arxiv.math/0703803 · pith_short_12: 75VMPFAZB5OI · pith_short_16: 75VMPFAZB5OIPLTS · pith_short_8: 75VMPFAZ

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/75VMPFAZB5OIPLTSDSEFVNFU5C \
  | 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: ff6ac794190f5c87ae721c885ab4b4e8ad96109cbed4912a18641c7fa3bdf74b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833b69edc8650e32b6224c9d1b23cf2aeb866baa7e5cc1fac2327224f2ea9afa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-03-27T13:43:03Z",
    "title_canon_sha256": "f735d943c78f8c895729f5510bbe0b96ef3ee03f2d5425963e17e34eb11fb8a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703803",
    "kind": "arxiv",
    "version": 2
  }
}