Pith Number

pith:U57DJWIE

pith:2015:U57DJWIEBUW2MCCYFNQDS2OMHU

not attested not anchored not stored refs pending

Stable solutions of symmetric systems on Riemannian manifolds

Mostafa Fazly

arxiv:1506.01758 v2 · 2015-06-05 · math.AP · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U57DJWIEBUW2MCCYFNQDS2OMHU}

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	2026-05-18T01:00:40.609178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77e34d9040d2da608582b603969cc3d3962f852ba2fbe4f68b20c5d2f5cc05c

Aliases

arxiv: 1506.01758 · arxiv_version: 1506.01758v2 · doi: 10.48550/arxiv.1506.01758 · pith_short_12: U57DJWIEBUW2 · pith_short_16: U57DJWIEBUW2MCCY · pith_short_8: U57DJWIE

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/U57DJWIEBUW2MCCYFNQDS2OMHU \
  | 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: a77e34d9040d2da608582b603969cc3d3962f852ba2fbe4f68b20c5d2f5cc05c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520d7c2e5ab33d2fe4736d81f9ee02101293efea410a2d20764ced5d90ff8bfb",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-05T00:49:58Z",
    "title_canon_sha256": "298bc2cd87cfd94d4b07b39bda75f5d9d122d1b6b85a39d6fd53de8364c78ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01758",
    "kind": "arxiv",
    "version": 2
  }
}