Pith Number

pith:KVEVGTM6

pith:2021:KVEVGTM6GHCVHXTVNYWGRAFHR2

not attested not anchored not stored refs pending

Bifurcation from Infinity of the Schr\"odinger Equation via Invariant Manifolds

Chunqiu Li, Jintao Wang

arxiv:2103.04082 v1 · 2021-03-06 · math.DS · 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{KVEVGTM6GHCVHXTVNYWGRAFHR2}

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	2026-07-05T02:20:45.906171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5549534d9e31c553de756e2c6880a78e9dcb2045f918e33ea096954f751fcefb

Aliases

arxiv: 2103.04082 · arxiv_version: 2103.04082v1 · doi: 10.48550/arxiv.2103.04082 · pith_short_12: KVEVGTM6GHCV · pith_short_16: KVEVGTM6GHCVHXTV · pith_short_8: KVEVGTM6

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/KVEVGTM6GHCVHXTVNYWGRAFHR2 \
  | 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: 5549534d9e31c553de756e2c6880a78e9dcb2045f918e33ea096954f751fcefb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a028169defe759c506a570dc533ba9d608a942a488b87a0280999e89503b965",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-03-06T09:36:17Z",
    "title_canon_sha256": "394f6de44a85d251dbf23788312e14261c7f11d7fdf9a94d39a60bac1fb89f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.04082",
    "kind": "arxiv",
    "version": 1
  }
}