Pith Number

pith:STH4V73D

pith:2016:STH4V73DJTXN5XM6LYVVC7H33Q

not attested not anchored not stored refs pending

Universality of blow up profile for small blow up solutions to the energy critical wave map equation

Carlos Kenig, Frank Merle, Hao Jia, Thomas Duyckaerts

arxiv:1612.04927 v1 · 2016-12-15 · 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{STH4V73DJTXN5XM6LYVVC7H33Q}

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	2026-05-18T00:54:53.889161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94cfcaff634ceededd9e5e2b517cfbdc2adf32ff6d18f5ff05acef88d2c8edf5

Aliases

arxiv: 1612.04927 · arxiv_version: 1612.04927v1 · doi: 10.48550/arxiv.1612.04927 · pith_short_12: STH4V73DJTXN · pith_short_16: STH4V73DJTXN5XM6 · pith_short_8: STH4V73D

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/STH4V73DJTXN5XM6LYVVC7H33Q \
  | 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: 94cfcaff634ceededd9e5e2b517cfbdc2adf32ff6d18f5ff05acef88d2c8edf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06123a51970f7709f76a349b8f457d4541151949e03cb5316f8c5ca2ca68aa6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-15T04:51:16Z",
    "title_canon_sha256": "eb76551d23b327a5ef7f2a1c7a83153582db6467627270a261eb4c741f72324f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04927",
    "kind": "arxiv",
    "version": 1
  }
}