Pith Number

pith:XGFDF4Q4

pith:2002:XGFDF4Q43V2U5SRJJEWFV7WI6T

not attested not anchored not stored refs pending

Index defects in the theory of spectral boundary value problems

A.Yu. Savin, B.Yu. Sternin

arxiv:math/0211177 v1 · 2002-11-11 · math.KT · math.AT · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGFDF4Q43V2U5SRJJEWFV7WI6T}

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	2026-05-18T04:09:25.519109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98a32f21cdd754eca29492c5afec8f4c2ec2485a054ace0c8e7ea7c0ece5ef0

Aliases

arxiv: math/0211177 · arxiv_version: math/0211177v1 · doi: 10.48550/arxiv.math/0211177 · pith_short_12: XGFDF4Q43V2U · pith_short_16: XGFDF4Q43V2U5SRJ · pith_short_8: XGFDF4Q4

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/XGFDF4Q43V2U5SRJJEWFV7WI6T \
  | 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: b98a32f21cdd754eca29492c5afec8f4c2ec2485a054ace0c8e7ea7c0ece5ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a89714a94d299b0a5cbe31b08403d1d20fc2feab1a0e43352f7971a8528335",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2002-11-11T19:58:42Z",
    "title_canon_sha256": "75a6c6ae74fd5be8da764a693a2a14f213404f8d203e99c45086dc420ca37ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211177",
    "kind": "arxiv",
    "version": 1
  }
}