Pith Number

pith:MAWMXFAB

pith:2010:MAWMXFAB5YHRCQIWEFY32XHO3R

not attested not anchored not stored refs pending

Level set methods for finding saddle points of general Morse index

C.H. Jeffrey Pang

arxiv:1001.0925 v1 · 2010-01-06 · math.NA · cs.NA · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAWMXFAB5YHRCQIWEFY32XHO3R}

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	2026-06-03T23:06:32.151221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

602ccb9401ee0f1141162171bd5ceedc4aafa19684f562e59075f6e9c6de8258

Aliases

arxiv: 1001.0925 · arxiv_version: 1001.0925v1 · doi: 10.48550/arxiv.1001.0925 · pith_short_12: MAWMXFAB5YHR · pith_short_16: MAWMXFAB5YHRCQIW · pith_short_8: MAWMXFAB

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/MAWMXFAB5YHRCQIWEFY32XHO3R \
  | 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: 602ccb9401ee0f1141162171bd5ceedc4aafa19684f562e59075f6e9c6de8258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4eb0ddcdf118273a8b4a12d158e1c730fa0fb9712cce28c3f229681357f4835",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-01-06T15:57:30Z",
    "title_canon_sha256": "f0d580949716e7e6d87de630b9f80de724eed150d2e0c02240be8df15ca73753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0925",
    "kind": "arxiv",
    "version": 1
  }
}