Pith Number

pith:GMJFDD6I

pith:2010:GMJFDD6IKFYRQ7JGIPEKVH2F42

not attested not anchored not stored refs pending

Asymptotic stability of solutions to abstract differential equations

A.G.Ramm

arxiv:1009.6124 v1 · 2010-09-30 · 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{GMJFDD6IKFYRQ7JGIPEKVH2F42}

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	2026-05-18T04:40:01.024799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3312518fc85171187d2643c8aa9f45e68fbe85be3348b83e8dab6cc35e09e8f0

Aliases

arxiv: 1009.6124 · arxiv_version: 1009.6124v1 · doi: 10.48550/arxiv.1009.6124 · pith_short_12: GMJFDD6IKFYR · pith_short_16: GMJFDD6IKFYRQ7JG · pith_short_8: GMJFDD6I

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/GMJFDD6IKFYRQ7JGIPEKVH2F42 \
  | 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: 3312518fc85171187d2643c8aa9f45e68fbe85be3348b83e8dab6cc35e09e8f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada167a58e0a0a04fe773e779dce951700f970eaad561e57d23a510492e4e371",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-30T13:28:07Z",
    "title_canon_sha256": "007b5a447cc3c16933585bd3118ac412725aee528fb98a65d146e7429cdb8311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6124",
    "kind": "arxiv",
    "version": 1
  }
}