Pith Number

pith:FMK7I2B3

pith:2011:FMK7I2B3PRTN6F4XVHUY6OBKMF

not attested not anchored not stored refs pending

A Singular Parabolic Equation: Existence, Stabilization

Jacques Giacomoni, Kaushik Bal, Mehdi Badra

arxiv:1104.1691 v1 · 2011-04-09 · 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{FMK7I2B3PRTN6F4XVHUY6OBKMF}

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	2026-05-18T04:24:43.360320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b15f4683b7c66df1797a9e98f382a6178655b5282003f32e827b662203aec7d

Aliases

arxiv: 1104.1691 · arxiv_version: 1104.1691v1 · doi: 10.48550/arxiv.1104.1691 · pith_short_12: FMK7I2B3PRTN · pith_short_16: FMK7I2B3PRTN6F4X · pith_short_8: FMK7I2B3

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/FMK7I2B3PRTN6F4XVHUY6OBKMF \
  | 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: 2b15f4683b7c66df1797a9e98f382a6178655b5282003f32e827b662203aec7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a449c07a31cd5b948b18f0ee423f45401b73e852b6d968bf921ed3a8bfd5653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-09T11:31:53Z",
    "title_canon_sha256": "dd34315939c0fce6df68d4c43cc14dae789e185eeb443fd00ac3ad185aacf129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1691",
    "kind": "arxiv",
    "version": 1
  }
}