Pith Number

pith:OFTAK7KQ

pith:2011:OFTAK7KQCCX77RBO36TEVJJ25R

not attested not anchored not stored refs pending

Unstable manifolds of Euler equations

Chongchun Zeng, Zhiwu Lin

arxiv:1112.4525 v1 · 2011-12-19 · math.AP

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

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	2026-05-18T04:05:58.647424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7166057d5010afffc42edfa64aa53aec6b5655eb827fb2c87dd49e7d2630f78c

Aliases

arxiv: 1112.4525 · arxiv_version: 1112.4525v1 · doi: 10.48550/arxiv.1112.4525 · pith_short_12: OFTAK7KQCCX7 · pith_short_16: OFTAK7KQCCX77RBO · pith_short_8: OFTAK7KQ

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/OFTAK7KQCCX77RBO36TEVJJ25R \
  | 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: 7166057d5010afffc42edfa64aa53aec6b5655eb827fb2c87dd49e7d2630f78c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e135906a14d08040844d412211791cf5c2d90b948341089e0979fccf9fa2a8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-19T22:59:36Z",
    "title_canon_sha256": "e48b4918af3f2866c0e5026f7d882d5746e1325c41c901202b25db878d722d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4525",
    "kind": "arxiv",
    "version": 1
  }
}