Pith Number

pith:SDAIWVOE

pith:2007:SDAIWVOEWAMIN6SGDX7IMXITVX

not attested not anchored not stored refs pending

Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces

Jean-Francois Grosjean (IECN), Julien Roth (LAMA)

arxiv:0709.0831 v3 · 2007-09-06 · 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{SDAIWVOEWAMIN6SGDX7IMXITVX}

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	2026-05-18T00:50:24.261294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90c08b55c4b01886fa461dfe865d13add49e1831197485e1f8566fe17a565e8b

Aliases

arxiv: 0709.0831 · arxiv_version: 0709.0831v3 · doi: 10.48550/arxiv.0709.0831 · pith_short_12: SDAIWVOEWAMI · pith_short_16: SDAIWVOEWAMIN6SG · pith_short_8: SDAIWVOE

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/SDAIWVOEWAMIN6SGDX7IMXITVX \
  | 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: 90c08b55c4b01886fa461dfe865d13add49e1831197485e1f8566fe17a565e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53a7fc6adee40de1e10e581a144f97ef54d96592edc275622b4b4c686ad4a154",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-09-06T11:09:54Z",
    "title_canon_sha256": "a4c61939b18e32e9e12fddb87cc05072f9fb16ce6adcbb3ca210cac9446a5f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0831",
    "kind": "arxiv",
    "version": 3
  }
}