Pith Number

pith:52GV7TTB

pith:2016:52GV7TTBQKJNK3E2M2GJ7LO2KX

not attested not anchored not stored refs pending

On uniqueness for the Harmonic Map Heat Flow in supercritical dimensions

Hideyuki Miura, Pierre Germain, Tej-Eddine Ghoul

arxiv:1601.06601 v5 · 2016-01-25 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52GV7TTBQKJNK3E2M2GJ7LO2KX}

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	2026-05-18T00:37:48.718519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8d5fce618292d56c9a668c9fadda55dddd5b22315650ac1c178d53cb69767a

Aliases

arxiv: 1601.06601 · arxiv_version: 1601.06601v5 · doi: 10.48550/arxiv.1601.06601 · pith_short_12: 52GV7TTBQKJN · pith_short_16: 52GV7TTBQKJNK3E2 · pith_short_8: 52GV7TTB

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/52GV7TTBQKJNK3E2M2GJ7LO2KX \
  | 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: ee8d5fce618292d56c9a668c9fadda55dddd5b22315650ac1c178d53cb69767a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd3caeb2527711679a10743d0b43703d80b95cfc7a5250e0a2ffe374c6fabba8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-25T13:55:52Z",
    "title_canon_sha256": "51bbe2a55f2111584d10cab02d7dfdf6612c817fcb814dc45cb56cebeddd7f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06601",
    "kind": "arxiv",
    "version": 5
  }
}