Pith Number

pith:SKKUVTNF

pith:2012:SKKUVTNFUEME4PQFLO43LDSQMW

not attested not anchored not stored refs pending

On the blow up and condensation of supercritical solution of the Nordheim equation for bosons

J. J. L. Vel\'azquez, M. Escobedo

arxiv:1210.1664 v3 · 2012-10-05 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKKUVTNFUEME4PQFLO43LDSQMW}

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	2026-05-18T03:01:46.998877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92954acda5a1184e3e055bb9b58e506594fd9eb26558b815f85fbaca7cee3cc0

Aliases

arxiv: 1210.1664 · arxiv_version: 1210.1664v3 · doi: 10.48550/arxiv.1210.1664 · pith_short_12: SKKUVTNFUEME · pith_short_16: SKKUVTNFUEME4PQF · pith_short_8: SKKUVTNF

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/SKKUVTNFUEME4PQFLO43LDSQMW \
  | 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: 92954acda5a1184e3e055bb9b58e506594fd9eb26558b815f85fbaca7cee3cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851be0e320ce2fc9357f0193fd9fb6d822c35921b708f604c6c4b76a81d09fe0",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-05T07:32:21Z",
    "title_canon_sha256": "52407525ac0406ff936006979935ff4310efb84e1e66916a4e6330c3226d8636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1664",
    "kind": "arxiv",
    "version": 3
  }
}