Pith Number

pith:YXY5QBZ2

pith:2012:YXY5QBZ2TEVGWG72AA43V5JBWB

not attested not anchored not stored refs pending

Multiplicity of solutions for gradient systems under strong resonance at the first eigenvalue

Edcarlos D. da Silva

arxiv:1206.7097 v1 · 2012-06-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXY5QBZ2TEVGWG72AA43V5JBWB}

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	2026-05-18T03:52:13.027366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f1d8073a992a6b1bfa0039baf521b060f0f8993d9087fe2b2a7225103aff1d

Aliases

arxiv: 1206.7097 · arxiv_version: 1206.7097v1 · doi: 10.48550/arxiv.1206.7097 · pith_short_12: YXY5QBZ2TEVG · pith_short_16: YXY5QBZ2TEVGWG72 · pith_short_8: YXY5QBZ2

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/YXY5QBZ2TEVGWG72AA43V5JBWB \
  | 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: c5f1d8073a992a6b1bfa0039baf521b060f0f8993d9087fe2b2a7225103aff1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09f4e64ef69b775dfb8cd5b32bb7fce4bf5ed999359fb3edcf1396998c7902a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-29T18:44:50Z",
    "title_canon_sha256": "3a5a6137c4b6cfaf48dae393d20482c7887c6c2eb7eddc689229bb00bfe10021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7097",
    "kind": "arxiv",
    "version": 1
  }
}