Pith Number

pith:3HBIYAPS

pith:1999:3HBIYAPSODXS7UDFTEM4UEWD6U

not attested not anchored not stored refs pending

Continuous and discrete transformations of a one-dimensional porous medium equation

Christodoulos Sophocleous

arxiv:math/9910189 v1 · 1999-10-01 · 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{3HBIYAPSODXS7UDFTEM4UEWD6U}

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	2026-05-18T01:38:22.324803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c28c01f270ef2fd0659919ca12c3f50eb34cc0f0e69031f9d0025c98a96ac2

Aliases

arxiv: math/9910189 · arxiv_version: math/9910189v1 · doi: 10.48550/arxiv.math/9910189 · pith_short_12: 3HBIYAPSODXS · pith_short_16: 3HBIYAPSODXS7UDF · pith_short_8: 3HBIYAPS

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/3HBIYAPSODXS7UDFTEM4UEWD6U \
  | 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: d9c28c01f270ef2fd0659919ca12c3f50eb34cc0f0e69031f9d0025c98a96ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111dfc097d9a6475abe4fae84c3b4b51fecaf5ebabbbf8d3c737e82f89b2b2e5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "1999-10-01T00:00:00Z",
    "title_canon_sha256": "a87e0c8f5636c5aa77a76fdb452cc77ee0e53a53b4ec7aac1cecd9a3299f9101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9910189",
    "kind": "arxiv",
    "version": 1
  }
}