Pith Number

pith:HVFKUP2Y

pith:2014:HVFKUP2Y5N4TKQGO2Q2ALRN3TS

not attested not anchored not stored refs pending

On the growth of the energy of entire solutions to the vector Allen-Cahn equation

Christos Sourdis

arxiv:1404.3904 v4 · 2014-04-15 · 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{HVFKUP2Y5N4TKQGO2Q2ALRN3TS}

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	2026-05-18T02:53:17.073890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d4aaa3f58eb793540ced43405c5bb9cb5fbac3a10db19f5145e051f633fc7df

Aliases

arxiv: 1404.3904 · arxiv_version: 1404.3904v4 · doi: 10.48550/arxiv.1404.3904 · pith_short_12: HVFKUP2Y5N4T · pith_short_16: HVFKUP2Y5N4TKQGO · pith_short_8: HVFKUP2Y

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/HVFKUP2Y5N4TKQGO2Q2ALRN3TS \
  | 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: 3d4aaa3f58eb793540ced43405c5bb9cb5fbac3a10db19f5145e051f633fc7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e52637d90524a58f5033714abc97bc79fa30297c554f19835ff5b469fcccd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-15T13:36:26Z",
    "title_canon_sha256": "65317e0306402d67395c5a58c8d98c4e586efd246986c42e7e329d64dd0ffe57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3904",
    "kind": "arxiv",
    "version": 4
  }
}